## 三角函数积分 ```[math] \int \sin^ncxdx = - \frac {1}{nc}\sin^{n-1}x + \frac {n-1}{n}\int\sin^{n-2}cxdx ``` ## 皮尔诺余项的马克劳林展示 ```[math] e^x = 1 + x + \frac {x^2}{2!}+\dots +\frac {x^n}{n!}+0(x^n) ``` ```[math] sinx = x- \frac {x^3}{3!}+ \frac {x^5}{5!}+\dots+(-1)^{m-1} \frac {x^{2m-1}}{(2m-1)!} + 0(x^{2m}) ```  ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ``` ```[math] ```