求不定积分∫cosx/(sin^3)x

网友回答

∫cosx/(sin^3)x dx=∫dsinx/(sin^3)x=(sinx)^(-2)/(-2)+C=-1/(2sinx^2)+C
======以下答案可供参考======
供参考答案1:
∫cosx/(sin^3)x dx
=∫(sinx)'/(sin^3x)dsinxdx
=-1/(2sin^2x)+C