求sin^2xdx=()cos^2x

问题描述:

求sin^2xdx=()cos^2x

∫(sinx)^2dx
=(1/2)∫(1-cos2x)dx
=(1/2)∫dx-(1/4)∫cos2xd(2x)
=(1/2)x-(1/4)sin2x+C.