求xcosx/sin^2 xdx

问题描述:

求xcosx/sin^2 xdx
求详解

∫xcosx/sin^2 xdx
=-∫xd(1/sinx)=-x/sinx+∫1/sinxdx=-x/sinx+∫cscxdx=-x/sinx+ln|cscx-cotx|+c