什么的导数是sin^2﹡x

什么的导数是sin^2﹡x
2025-06-26 20:33:01
推荐回答(2个)
回答1:

sin²x=(1-cos2x)/2
所以是x/2-1/4*sin2x+C
C是任意常数

回答2:

y=∫sin^2xdx
=∫(sinx)^2dx
=∫(1-cos2x)dx/2
=∫(1/2)dx-∫cos2xdx/2
=(1/2)x-∫cos2xd2x/4
=(1/2)x-(1/4)sin2x+c.