本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数({({x}^{2} + 3)}^{(\frac{2}{3})}x{(3x + 1)}^{x}){\frac{1}{(arcsin(x))}}^{4} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{4}(x)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{4}(x)}\right)}{dx}\\=&\frac{(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{arcsin^{4}(x)} + (x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})\\=&\frac{4x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{4x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)}\right)}{dx}\\=&\frac{4(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{3arcsin^{4}(x)} + \frac{4*2x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{1}{3}}} + \frac{(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{arcsin^{4}(x)} + (x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(3x + 1)arcsin^{4}(x)} + (x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}}\\=&\frac{-8x^{3}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} + \frac{4x(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{2(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-8x^{3}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} + \frac{4x(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{2(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)}\right)}{dx}\\=&\frac{-8(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{3}(3x + 1)^{x}}{9arcsin^{4}(x)} - \frac{8*3x^{2}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{9(x^{2} + 3)^{\frac{4}{3}}} + \frac{4(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{4(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}} + \frac{8(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{3arcsin^{4}(x)} + \frac{8*2x(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8x^{2}(3x + 1)^{x}(3 + 0)}{3(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{8x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{1}{3}}} + \frac{8(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{8(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{8*3x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{8x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{8x^{3}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)} - \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16*2x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} + \frac{2(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{2(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{arcsin^{4}(x)} + \frac{2(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(3 + 0)}{(3x + 1)arcsin^{4}(x)} + 2(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(3x + 1)arcsin^{4}(x)} + (x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{9(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{9(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{9(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{arcsin^{4}(x)} - \frac{9(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{9(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} + \frac{3(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{9(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{9(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{4(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16*2x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} + \frac{20(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}}\\=&\frac{64x^{4}(3x + 1)^{x}}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} + \frac{32x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{4(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{16x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{4x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{44x^{2}(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{32x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{36x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{36x^{4}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{32x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{16x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{64x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{64x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{160x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{32x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{54(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{81(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{80x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{64x^{4}(3x + 1)^{x}}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} + \frac{32x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{4(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{16x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{4x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{44x^{2}(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{32x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{36x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{36x^{4}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{32x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{16x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{64x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{64x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{160x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{32x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{54(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{81(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{80x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)}\right)}{dx}\\=&\frac{64(\frac{\frac{-7}{3}(2x + 0)}{(x^{2} + 3)^{\frac{10}{3}}})x^{4}(3x + 1)^{x}}{27arcsin^{4}(x)} + \frac{64*4x^{3}(3x + 1)^{x}}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} + \frac{64x^{4}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} + \frac{64x^{4}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{27(x^{2} + 3)^{\frac{7}{3}}} - \frac{16(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{2}(3x + 1)^{x}}{3arcsin^{4}(x)} - \frac{16*2x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{4}{3}}} - \frac{8(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{3}(3x + 1)^{x}ln(3x + 1)}{3arcsin^{4}(x)} - \frac{8*3x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8x^{3}(3x + 1)^{x}(3 + 0)}{3(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} - \frac{8x^{3}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{4}{3}}} - \frac{8(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{4}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} - \frac{8(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{8*4x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} - \frac{8x^{4}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} - \frac{8x^{4}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)} + \frac{32(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{3}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{32(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{32*3x^{2}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{32x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{32x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}} + \frac{4(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{4((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}} + \frac{12(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{12(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x(3x + 1)^{x}(3 + 0)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{12x(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}} + \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{16(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{16*2x(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{16x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)} - \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} + \frac{4(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{4*2x(3x + 1)^{x}ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{4x^{2}(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{4x^{2}(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}} + \frac{12(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{12(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12*3x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{12x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}(3 + 0)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)} + \frac{44(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{44(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{44*2x(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{44x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{44x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}} - \frac{32(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{32*2x(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32x^{2}(3x + 1)^{x}(3 + 0)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} - \frac{32x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} - \frac{36(\frac{-2(3 + 0)}{(3x + 1)^{3}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{36(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36*3x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{36x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{36x^{3}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}} + \frac{12(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{12*3x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}(3 + 0)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{12x^{3}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}} + \frac{36(\frac{-2(3 + 0)}{(3x + 1)^{3}})x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{36(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{4}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{36*4x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{36x^{4}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{36x^{4}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}} - \frac{32(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{32(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} - \frac{32(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{32*3x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{32x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{32x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{16(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16*3x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}} + \frac{64(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{3}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{64(\frac{\frac{-4}{3}(2x + 0)}{(x^{2} + 3)^{\frac{7}{3}}})x^{3}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{64*3x^{2}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{64x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{64x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}} - \frac{64(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{64(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16*2x(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}(3 + 0)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{64(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{64(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} - \frac{64(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{64*3x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{64x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{64x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} + \frac{160(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{160(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{160(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{160*2x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{160x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{160x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(3x + 1)arcsin^{4}(x)} + 3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{21(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{21(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{15(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{15(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{8(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{36(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{4}(x)} - \frac{36(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{15(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{15(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{15(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{18(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{18(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{8(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{8(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{32(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{32(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{32x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{24(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} + \frac{40(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}*3ln^{2}(3x + 1)(3 + 0)}{(3x + 1)arcsin^{4}(x)} + (x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})}) + \frac{6(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{27(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} - \frac{27(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(3x + 1)^{2}(3x + 1)arcsin^{4}(x)} - \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} + \frac{3(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{4}(x)} + \frac{3(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(3x + 1)(3x + 1)arcsin^{4}(x)} + \frac{3(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)} + \frac{18(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{18(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(3 + 0)}{(3x + 1)^{2}(3x + 1)arcsin^{4}(x)} + \frac{18(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} + \frac{63(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}(\frac{-2(3 + 0)}{(3x + 1)^{3}})x^{2}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{63(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{36(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{36(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{16*2x(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}(3 + 0)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} - \frac{16x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{20(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{54(\frac{-3(3 + 0)}{(3x + 1)^{4}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{54(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{54(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{54(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{54(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{3}} - \frac{18(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}(\frac{-2(3 + 0)}{(3x + 1)^{3}})x(3x + 1)^{x}}{arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{81(\frac{-3(3 + 0)}{(3x + 1)^{4}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{arcsin^{4}(x)} - \frac{81(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{81(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{81(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{81(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{3}} + \frac{36(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{36(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{5}(x)} + \frac{36(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{9(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}(\frac{-2(3 + 0)}{(3x + 1)^{3}})x^{3}(3x + 1)^{x}ln(3x + 1)}{arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(3 + 0)}{(3x + 1)^{2}(3x + 1)arcsin^{4}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}} - \frac{12(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{5}(x)} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{27(\frac{-3(3 + 0)}{(3x + 1)^{4}})(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{arcsin^{4}(x)} + \frac{27(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{4}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{27(x^{2} + 3)^{\frac{2}{3}}*4x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{4}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{27(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}(\frac{-4(1)}{arcsin^{5}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{3}} - \frac{36(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{5}(x)} - \frac{36(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{36(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{3}(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)} + \frac{72(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}(\frac{-2(3 + 0)}{(3x + 1)^{3}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{60(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)arcsin^{5}(x)} - \frac{60(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{60(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{24(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{5}(x)} - \frac{24(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(3x + 1)arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} - \frac{72(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{5}(x)} - \frac{72(\frac{-2(3 + 0)}{(3x + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{72(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}} + \frac{120(\frac{-(3 + 0)}{(3x + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{12(\frac{\frac{-5}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{7}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*3x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{5}{2}}} - \frac{8(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x(3x + 1)^{x}}{arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{20(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{6}(x)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{arcsin^{5}(x)} - \frac{4(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}*2ln(3x + 1)(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{12(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{5}(x)} - \frac{12(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)(\frac{-5(1)}{arcsin^{6}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{40(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{arcsin^{6}(x)} + \frac{40(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{2}} + \frac{80(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} + 3)^{\frac{4}{3}}})x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)arcsin^{6}(x)} + \frac{80(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{2}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{80*2x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{80x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{80x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)} + \frac{20(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{arcsin^{6}(x)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})(3x + 1)^{x}}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)} + \frac{20(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x(3x + 1)^{x}ln(3x + 1)}{arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(3 + 0)}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)} + \frac{60(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{2}(3x + 1)^{x}}{(3x + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}(\frac{-(3 + 0)}{(3x + 1)^{2}})x^{2}(3x + 1)^{x}}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}*2x(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}(\frac{-6(1)}{arcsin^{7}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)(3x + 1)} - \frac{120(\frac{\frac{2}{3}(2x + 0)}{(x^{2} + 3)^{\frac{1}{3}}})x(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x(3x + 1)^{x}}{(-x^{2} + 1)arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x((3x + 1)^{x}((1)ln(3x + 1) + \frac{(x)(3 + 0)}{(3x + 1)}))}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}(\frac{-7(1)}{arcsin^{8}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}}\\=&\frac{-896x^{5}(3x + 1)^{x}}{81(x^{2} + 3)^{\frac{10}{3}}arcsin^{4}(x)} + \frac{640x^{3}(3x + 1)^{x}}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} + \frac{256x^{4}(3x + 1)^{x}ln(3x + 1)}{27(x^{2} + 3)^{\frac{7}{3}}arcsin^{4}(x)} + \frac{256x^{5}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{7}{3}}(3x + 1)arcsin^{4}(x)} - \frac{256x^{4}(3x + 1)^{x}}{27(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{7}{3}}arcsin^{5}(x)} - \frac{40x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{64x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{80x^{3}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} + \frac{64x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{16x^{3}(3x + 1)^{x}ln^{2}(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{16x^{4}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{4}{3}}(3x + 1)arcsin^{4}(x)} - \frac{208x^{3}(3x + 1)^{x}}{3(3x + 1)(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} + \frac{32x^{3}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} + \frac{48x^{4}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{16x^{4}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} - \frac{48x^{5}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{4}{3}}arcsin^{4}(x)} + \frac{32x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{64x^{4}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{256x^{4}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{7}{3}}arcsin^{5}(x)} + \frac{416x^{2}(3x + 1)^{x}}{9(x^{2} + 3)^{\frac{4}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{64x^{3}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{4}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{96x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{4}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{160x^{3}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{6}(x)} + \frac{16(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{104x(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{24x(3x + 1)^{x}ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{144x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} + \frac{88x(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{48x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{228x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{96x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{108x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{64x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{112x^{2}(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{160x^{2}(3x + 1)^{x}}{9(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{80(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{224x(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{176x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{400x(3x + 1)^{x}}{3(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{16x^{2}(3x + 1)^{x}ln^{3}(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{32x^{3}(3x + 1)^{x}ln^{2}(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{4}(x)} - \frac{16x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{144x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{16x^{3}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{96x^{4}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{48x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{396x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)^{2}arcsin^{4}(x)} - \frac{176x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{64x^{3}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{3}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{32x^{3}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{4}{3}}arcsin^{5}(x)} - \frac{64x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{96x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{144x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{80x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{288x^{3}(3x + 1)^{x}}{(3x + 1)^{3}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{132x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)^{2}arcsin^{4}(x)} - \frac{432x^{4}(3x + 1)^{x}}{(3x + 1)^{3}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} + \frac{144x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{48x^{4}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)^{2}arcsin^{4}(x)} - \frac{48x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{144x^{5}(3x + 1)^{x}}{(3x + 1)^{3}(x^{2} + 3)^{\frac{1}{3}}arcsin^{4}(x)} - \frac{144x^{4}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{192x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{384x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{336x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{96x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{288x^{4}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} + \frac{480x^{3}(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{64x^{4}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{80x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{128x^{3}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{80x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} - \frac{64(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{208x(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{64x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} + \frac{320x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{80x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{3(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}arcsin^{5}(x)} - \frac{64x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{5}(x)} + \frac{80x^{2}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{160x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{2}(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} - \frac{160x^{3}(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{4}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{560x(3x + 1)^{x}}{3(-x^{2} + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{400x^{2}(3x + 1)^{x}ln(3x + 1)}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{240x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{320x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} + \frac{4(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{3}(3x + 1)}{arcsin^{4}(x)} + \frac{30(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{162(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{42(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{189(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{198(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{84(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{90(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{126(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{16(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{48(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{324(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{648(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{144(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{135(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{270(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{108(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{132(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{28(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{96(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{96(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{160(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{160x(3x + 1)^{x}}{3(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{100(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{420(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{240(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} + \frac{(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{4}(3x + 1)}{arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{3}(3x + 1)}{(3x + 1)arcsin^{4}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{54(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{6(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{3}(3x + 1)}{(3x + 1)arcsin^{4}(x)} + \frac{45(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{16(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{216(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{54(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{324(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{324(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{108(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{9(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)^{2}arcsin^{4}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{108(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{162(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{252(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{432(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{252(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{4(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{3}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{5}(x)} - \frac{48(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{204(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{20(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{486(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{4}arcsin^{4}(x)} + \frac{108(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(3x + 1)^{3}arcsin^{4}(x)} + \frac{891(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{4}arcsin^{4}(x)} - \frac{216(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{18(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(3x + 1)^{2}arcsin^{4}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{486(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{4}arcsin^{4}(x)} + \frac{324(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{216(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} + \frac{48x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{216(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{972(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{81(x^{2} + 3)^{\frac{2}{3}}x^{5}(3x + 1)^{x}}{(3x + 1)^{4}arcsin^{4}(x)} - \frac{108(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{48x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{108(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{144(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}(3x + 1)arcsin^{5}(x)} + \frac{108(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} - \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)^{2}arcsin^{5}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{6}(x)} - \frac{432(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{72(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{6}(x)} - \frac{108(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{468(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{300(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{6}(x)} - \frac{32x^{3}(3x + 1)^{x}ln(3x + 1)}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{144(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)arcsin^{6}(x)} - \frac{96x^{4}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{216(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(3x + 1)^{3}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{6}(x)} - \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)arcsin^{6}(x)} + \frac{160x^{3}(3x + 1)^{x}}{(3x + 1)(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)arcsin^{6}(x)} + \frac{300(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{2}(3x + 1)arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)^{2}arcsin^{6}(x)} - \frac{720(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{4}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{7}{2}}arcsin^{5}(x)} - \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} - \frac{8(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{5}(x)} - \frac{24(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{6}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{5}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{6}(x)} + \frac{240(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{3}arcsin^{6}(x)} + \frac{80x^{3}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{2}arcsin^{6}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} + \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(3x + 1)^{2}arcsin^{5}(x)} - \frac{12(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln^{2}(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} - \frac{36(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{5}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{2}arcsin^{6}(x)} + \frac{40(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln^{2}(3x + 1)}{(-x^{2} + 1)arcsin^{6}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{240(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} + \frac{80(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{2}arcsin^{6}(x)} - \frac{240(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} + \frac{80x^{2}(3x + 1)^{x}ln(3x + 1)}{3(-x^{2} + 1)(x^{2} + 3)^{\frac{1}{3}}arcsin^{6}(x)} + \frac{80x^{3}(3x + 1)^{x}}{(-x^{2} + 1)(x^{2} + 3)^{\frac{1}{3}}(3x + 1)arcsin^{6}(x)} - \frac{160x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{7}(x)} + \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)^{2}(3x + 1)arcsin^{6}(x)} - \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)^{2}(-x^{2} + 1)arcsin^{6}(x)} + \frac{60(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)(3x + 1)arcsin^{6}(x)} + \frac{180(x^{2} + 3)^{\frac{2}{3}}x^{3}(3x + 1)^{x}}{(-x^{2} + 1)(3x + 1)^{2}arcsin^{6}(x)} - \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(3x + 1)(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{7}(x)} - \frac{160x^{2}(3x + 1)^{x}}{(x^{2} + 3)^{\frac{1}{3}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{7}(x)} - \frac{240(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{7}(x)} - \frac{120(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}ln(3x + 1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{7}(x)} - \frac{360(x^{2} + 3)^{\frac{2}{3}}x^{2}(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(3x + 1)arcsin^{7}(x)} + \frac{840(x^{2} + 3)^{\frac{2}{3}}x(3x + 1)^{x}}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{8}(x)}\\ \end{split}\end{equation} \]

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