数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
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    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。
\[ \begin{equation}\begin{split}【1/1】求函数{arcsin(2x + A)}^{e^{cos(6x + e)}} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( {arcsin(2x + A)}^{e^{cos(6x + e)}}\right)}{dx}\\=&({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))\\=&-6{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) + \frac{2{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( -6{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) + \frac{2{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)}\right)}{dx}\\=&-6({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) - 6{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e) - \frac{6{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(arcsin(2x + A))} - 6{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e)(6 + 0) + \frac{2(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{2({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{2{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{2{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}}\\=&36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e) - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{2}(6x + e) - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e) + \frac{8x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e) - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{2}(6x + e) - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e) + \frac{8x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)}\right)}{dx}\\=&36({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e) + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln^{2}(arcsin(2x + A))sin^{2}(6x + e) + \frac{36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}*2ln(arcsin(2x + A))(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{2}(6x + e)}{(arcsin(2x + A))} + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))*2sin(6x + e)cos(6x + e)(6 + 0) - \frac{24(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{arcsin(2x + A)} - \frac{24({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}(arcsin(2x + A))arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} + 36({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))sin^{2}(6x + e) + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin^{2}(6x + e) + \frac{36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{2}(6x + e)}{(arcsin(2x + A))} + 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))*2sin(6x + e)cos(6x + e)(6 + 0) - \frac{24(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{arcsin(2x + A)} - \frac{24({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} - 36({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e) - 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))cos(6x + e) - \frac{36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})cos(6x + e)}{(arcsin(2x + A))} - 36{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))*-sin(6x + e)(6 + 0) + \frac{8(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{8x({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{8x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{8x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} + \frac{4(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{4A({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{4A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} + \frac{4(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{arcsin^{2}(2x + A)} + \frac{4({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)} - \frac{4(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin^{2}(2x + A)} - \frac{4({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{4{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)}\\=&648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))sin^{3}(6x + e) - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{3}(6x + e) - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{3}(6x + e) + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) + \frac{96x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{24A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{16{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))sin^{3}(6x + e) - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{3}(6x + e) - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{3}(6x + e) + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) + \frac{96x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{24A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{16{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)}\right)}{dx}\\=&648({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin(6x + e)cos(6x + e) + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln^{2}(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}*2ln(arcsin(2x + A))(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)cos(6x + e)}{(arcsin(2x + A))} + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))cos(6x + e)(6 + 0)cos(6x + e) + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin(6x + e)*-sin(6x + e)(6 + 0) + \frac{216(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{arcsin(2x + A)} + \frac{216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}*3e^{{cos(6x + e)}*{2}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}*2ln(arcsin(2x + A))(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}(arcsin(2x + A))arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))*2sin(6x + e)cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} + 648({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e)cos(6x + e) + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)cos(6x + e) + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)cos(6x + e)}{(arcsin(2x + A))} + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e)(6 + 0)cos(6x + e) + 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e)*-sin(6x + e)(6 + 0) + \frac{648(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{arcsin(2x + A)} + \frac{648({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}(arcsin(2x + A))arcsin(2x + A)} + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))*2sin(6x + e)cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} - 216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))sin^{3}(6x + e) - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}*3e^{{cos(6x + e)}*{2}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln^{3}(arcsin(2x + A))sin^{3}(6x + e) - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}*3ln^{2}(arcsin(2x + A))(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{3}(6x + e)}{(arcsin(2x + A))} - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))*3sin^{2}(6x + e)cos(6x + e)(6 + 0) - \frac{144(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{arcsin(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}(arcsin(2x + A))arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} - \frac{72(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{arcsin(2x + A)} - \frac{72A({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}(arcsin(2x + A))arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} - \frac{72(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{arcsin^{2}(2x + A)} - \frac{72({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}*3e^{{cos(6x + e)}*{2}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)(arcsin(2x + A))arcsin^{2}(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)} - \frac{144(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{arcsin^{2}(2x + A)} - \frac{144({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)} - \frac{216(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{arcsin(2x + A)} - \frac{216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}(arcsin(2x + A))arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} + \frac{72(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{arcsin^{2}(2x + A)} + \frac{72({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)(arcsin(2x + A))arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)} - 648({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{3}(6x + e) - 648{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln^{2}(arcsin(2x + A))sin^{3}(6x + e) - \frac{648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}*2ln(arcsin(2x + A))(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{3}(6x + e)}{(arcsin(2x + A))} - 648{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))*3sin^{2}(6x + e)cos(6x + e)(6 + 0) - 216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))sin^{3}(6x + e) - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin^{3}(6x + e) - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin^{3}(6x + e)}{(arcsin(2x + A))} - 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))*3sin^{2}(6x + e)cos(6x + e)(6 + 0) + \frac{216(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{arcsin(2x + A)} + \frac{216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*2sin(6x + e)cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} - \frac{144(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{arcsin(2x + A)} - \frac{144{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{144x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} - \frac{72(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}})A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{arcsin(2x + A)} - \frac{72A({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{72A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} - \frac{216(\frac{\frac{-1}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{arcsin(2x + A)} - \frac{216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}} + \frac{72(\frac{-(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{arcsin^{2}(2x + A)} + \frac{72({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{72{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)} + 216({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}ln(arcsin(2x + A))sin(6x + e) + 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)ln(arcsin(2x + A))sin(6x + e) + \frac{216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})})sin(6x + e)}{(arcsin(2x + A))} + 216{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e)(6 + 0) + \frac{96(\frac{\frac{-5}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}})x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{96*2x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96x^{2}({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}} + \frac{96(\frac{\frac{-5}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}})Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{96A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96Ax({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{96Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}} + \frac{8(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{8({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} + \frac{48(\frac{-2(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}})x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{arcsin^{2}(2x + A)} + \frac{48{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{48x({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}} - \frac{48(\frac{-2(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}})x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin^{2}(2x + A)} - \frac{48{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{48x({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{48x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}} + \frac{24(\frac{\frac{-5}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}})A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin(2x + A)} + \frac{24A^{2}({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{24A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{24A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-(2 + 0)}{arcsin^{2}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}} + \frac{24(\frac{-2(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}})A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{arcsin^{2}(2x + A)} + \frac{24A({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}} - \frac{24(\frac{-2(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}})A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin^{2}(2x + A)} - \frac{24A({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{24A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-2(2 + 0)}{arcsin^{3}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}} + \frac{8(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{arcsin^{3}(2x + A)} + \frac{8({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}*3e^{{cos(6x + e)}*{2}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{8{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}(\frac{-3(2 + 0)}{arcsin^{4}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} - \frac{24(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{arcsin^{3}(2x + A)} - \frac{24({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}*2e^{cos(6x + e)}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{24{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}(\frac{-3(2 + 0)}{arcsin^{4}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}} + \frac{16(\frac{\frac{-3}{2}(-4*2x - 4A + 0 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}}){arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{arcsin^{3}(2x + A)} + \frac{16({arcsin(2x + A)}^{e^{cos(6x + e)}}((e^{cos(6x + e)}*-sin(6x + e)(6 + 0))ln(arcsin(2x + A)) + \frac{(e^{cos(6x + e)})((\frac{(2 + 0)}{((1 - (2x + A)^{2})^{\frac{1}{2}})}))}{(arcsin(2x + A))}))e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{16{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}*-sin(6x + e)(6 + 0)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{16{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}(\frac{-3(2 + 0)}{arcsin^{4}(2x + A)((1 - (2x + A)^{2})^{\frac{1}{2}})})}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}}\\=&-7776{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))sin^{2}(6x + e)cos(6x + e) + \frac{5184{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin(6x + e)cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} - 23328{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)cos(6x + e) + \frac{15552{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 3888{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))cos^{2}(6x + e) - 7776{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{2}(6x + e)cos(6x + e) + \frac{1728x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{864A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{1728{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{4}}ln^{3}(arcsin(2x + A))sin^{3}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{4}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{10368{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{3}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{4320{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{5184{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + 3888{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos^{2}(6x + e) - 5184{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{2}(6x + e) + \frac{5184x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{2592A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{12096{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{3}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{3456{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{2592{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{192{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + 7776{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln^{3}(arcsin(2x + A))sin^{4}(6x + e) - 5184{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{2}(6x + e) - \frac{2304x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} - \frac{2304Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + 1296{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{4}}ln^{4}(arcsin(2x + A))sin^{4}(6x + e) - \frac{1152x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{2304x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{1728x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{1152x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{576A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} - \frac{576A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{1152A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{864A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{576A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{192{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{4}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{576{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{576{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} - \frac{1728{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} + \frac{1152{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + \frac{1728{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{384{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln(arcsin(2x + A))sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + 9072{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}ln^{2}(arcsin(2x + A))sin^{4}(6x + e) + 1296{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))sin^{4}(6x + e) - \frac{1728{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{3}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{1728x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{864A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin^{2}(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{2304x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} - \frac{2304Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} - \frac{192{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} - \frac{1728x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{1152x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{576A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} - \frac{864A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin(2x + A)} + \frac{576A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{1728{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{1}{2}}arcsin(2x + A)} + \frac{864{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}cos(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)arcsin^{2}(2x + A)} - \frac{384{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}sin(6x + e)}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{3}{2}}arcsin^{3}(2x + A)} + 1296{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}ln(arcsin(2x + A))cos(6x + e) + \frac{1920x^{3}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}arcsin(2x + A)} + \frac{2880Ax^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}arcsin(2x + A)} + \frac{288x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{960x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} - \frac{960x^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} + \frac{1440A^{2}x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}arcsin(2x + A)} + \frac{144A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin(2x + A)} + \frac{960Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} - \frac{960Ax{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} + \frac{64{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} - \frac{64{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{2}(2x + A)} + \frac{192x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} - \frac{576x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} + \frac{384x{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} + \frac{240A^{3}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{7}{2}}arcsin(2x + A)} + \frac{240A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} - \frac{240A^{2}{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{3}arcsin^{2}(2x + A)} + \frac{96A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} - \frac{288A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} + \frac{192A{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{\frac{5}{2}}arcsin^{3}(2x + A)} + \frac{16{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{4}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{4}(2x + A)} - \frac{96{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{3}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{4}(2x + A)} + \frac{176{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{{cos(6x + e)}*{2}}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{4}(2x + A)} - \frac{96{arcsin(2x + A)}^{e^{cos(6x + e)}}e^{cos(6x + e)}}{(-4x^{2} - 4Ax - A^{2} + 1)^{2}arcsin^{4}(2x + A)}\\ \end{split}\end{equation} \]



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