求[sin(x⼀2)]^2的不定积分,要详细步骤,谢谢!

2024-11-20 13:21:23
推荐回答(1个)
回答(1):

∫sin²(x/2)dx
=1/2*∫2sin²(x/2)dx
=1/2∫(1-cosx))dx
=1/2*x-1/2∫cosxdx
=1/2*x -1/2*sinx +c