摘要： 证明积分：$$\int_{-\pi/2}^{\pi/2} (\sin(x))^n dx = \frac{n-1}{n}\int_{-\pi/2}^{\pi/2} (\sin(x))^{n-2} dx$$证明：\begin{align}\int_{-\pi/2}^{\pi/2} \sin^nx \, ... 阅读全文