∫cos2x/(sinxcosx)^2dx
问题描述:
∫cos2x/(sinxcosx)^2dx
答
∫cos2x/(sinxcosx)^2dx
= ∫√2cos2x/(2sinxcosx)^2dx
=√2/2∫cot2xcsc2xd2x
=-(√2/2)csc2x+c