sin2x⼀(cosx+sin^2x)对x求不定积分

2025-06-27 22:56:57
推荐回答(2个)
回答1:

积分部分
=2/[(cosx/sinxcosx)+(sin^2x/cosxsinx)]
=2/[(1/sinx)+(sinx/cosx]
=2/(cscx+tanx)

回答2:

变形=2sinxcosx/[cosx+(1-cos2x)/2]dx
=-2cosx[cosx+(1-cos2x)/2]d(cosx)
令t=cosx