本次共计算 1 个题目：每一题对 x 求 3 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{e}^{(sin(\frac{{x}^{2}}{360}) + cos(3x + \frac{{x}^{2}}{150}))} 关于 x 的 3 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}\right)}{dx}\\=&({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))\\=&\frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{180} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{75} - 3{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{180} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{75} - 3{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})\right)}{dx}\\=&\frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{180} + \frac{x({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos(\frac{1}{360}x^{2})}{180} + \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-sin(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{180} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{75} - \frac{x({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(3x + \frac{1}{150}x^{2})}{75} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{75} - 3({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(3x + \frac{1}{150}x^{2}) - 3{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)\\=&\frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{180} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos^{2}(\frac{1}{360}x^{2})}{32400} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{6750} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{30} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})}{32400} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{75} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{5625} + \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{25} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{25} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{5625} + 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2}) - 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{180} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos^{2}(\frac{1}{360}x^{2})}{32400} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{6750} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{30} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})}{32400} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{75} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{5625} + \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{25} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{25} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{5625} + 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2}) - 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})\right)}{dx}\\=&\frac{({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos(\frac{1}{360}x^{2})}{180} + \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-sin(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{180} + \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos^{2}(\frac{1}{360}x^{2})}{32400} + \frac{x^{2}({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos^{2}(\frac{1}{360}x^{2})}{32400} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-2cos(\frac{1}{360}x^{2})sin(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{32400} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{6750} - \frac{x^{2}({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{6750} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)cos(\frac{1}{360}x^{2})}{6750} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})*-sin(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{6750} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{30} - \frac{x({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{30} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)cos(\frac{1}{360}x^{2})}{30} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})*-sin(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{30} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})}{32400} - \frac{x^{2}({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(\frac{1}{360}x^{2})}{32400} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x}{32400} - \frac{({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin(3x + \frac{1}{150}x^{2})}{75} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{75} + \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{5625} + \frac{x^{2}({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin^{2}(3x + \frac{1}{150}x^{2})}{5625} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*2sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{5625} + \frac{2{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{25} + \frac{2x({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin^{2}(3x + \frac{1}{150}x^{2})}{25} + \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*2sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{25} - \frac{2{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{25} - \frac{2x({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos(3x + \frac{1}{150}x^{2})}{25} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{25} - \frac{2x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{5625} - \frac{x^{2}({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos(3x + \frac{1}{150}x^{2})}{5625} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)}{5625} + 9({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))sin^{2}(3x + \frac{1}{150}x^{2}) + 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*2sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x) - 9({e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}((cos(\frac{1}{360}x^{2})*\frac{1}{360}*2x + -sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x))ln(e) + \frac{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))(0)}{(e)}))cos(3x + \frac{1}{150}x^{2}) - 9{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}*-sin(3x + \frac{1}{150}x^{2})(3 + \frac{1}{150}*2x)\\=& - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{1125} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{2250} - \frac{{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{20} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})cos(\frac{1}{360}x^{2})}{1944000} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{10} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{506250} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos^{2}(\frac{1}{360}x^{2})}{810000} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos^{2}(\frac{1}{360}x^{2})}{3600} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})sin(3x + \frac{1}{150}x^{2})}{1215000} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{337500} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{750} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})cos(3x + \frac{1}{150}x^{2})}{2250} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})cos(3x + \frac{1}{150}x^{2})}{1012500} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})sin(3x + \frac{1}{150}x^{2})}{5400} + \frac{3x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})cos(\frac{1}{360}x^{2})}{20} + \frac{3x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})}{625} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})sin(\frac{1}{360}x^{2})}{2430000} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})sin(\frac{1}{360}x^{2})}{10800} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})cos(3x + \frac{1}{150}x^{2})}{20} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})}{140625} + 81{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2}) - \frac{3{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{25} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(3x + \frac{1}{150}x^{2})}{1875} + \frac{27x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})cos(3x + \frac{1}{150}x^{2})}{25} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{3}(3x + \frac{1}{150}x^{2})}{421875} - \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{3}(3x + \frac{1}{150}x^{2})}{625} + \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{1875} + \frac{3{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{2}(3x + \frac{1}{150}x^{2})}{25} - \frac{9x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{3}(3x + \frac{1}{150}x^{2})}{25} - \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(\frac{1}{360}x^{2})}{10800} + \frac{x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos^{2}(\frac{1}{360}x^{2})}{10800} + \frac{x^{2}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{625} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos^{3}(\frac{1}{360}x^{2})}{5832000} + \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{421875} - 27{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin^{3}(3x + \frac{1}{150}x^{2}) + \frac{9x{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})}{25} - \frac{x^{3}{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}cos(\frac{1}{360}x^{2})}{5832000} + 27{e}^{(sin(\frac{1}{360}x^{2}) + cos(3x + \frac{1}{150}x^{2}))}sin(3x + \frac{1}{150}x^{2})\\ \end{split}\end{equation} \]

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