求不定积分∫cosx/(sin^3)x
问题描述：
求不定积分∫cosx/(sin^3)x
答
∫cosx/(sin^3)x dx
=∫(sinx)'/(sin^3x)dsinxdx
=-1/(2sin^2x)+C
答
∫cosx/(sin^3)x dx=∫dsinx/(sin^3)x=(sinx)^(-2)/(-2)+C=-1/(2sinx^2)+C