∫x/(1+cosx)dx谢谢
问题描述:
∫x/(1+cosx)dx谢谢
答
∫xdx/(1+cosx)
=∫xdx/[2cos²(x/2)]
=∫xd[tan(x/2)]
=x*tan(x/2)-∫[tan(x/2)]dx
=x*tan(x/2)+2*ln|cos(x/2)|+C