sinx 2積分 在 Re: [微積] [sin(nx)/sinx]^2從0積到pi - 看板Math 的評價 漏了提供答案, 積分的結果是npi, 謝謝各位: 如果要拆~~可以想想看把sin nx用Euler identity把它拆開來: : 令z=cos x+ isin x, 那麼sin x =(z-z*)/2i, ... ... <看更多>
sinx 2積分 在 How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi 的評價 I initially thought of the Leibniz rule, but that wouldn't work as the result only holds for positive integers, meaning the integral would not ... ... <看更多>
