∫cos2x/(sinxcosx)^2dx

问题描述:

∫cos2x/(sinxcosx)^2dx

∫cos2x/(sinxcosx)^2dx
= ∫√2cos2x/(2sinxcosx)^2dx
=√2/2∫cot2xcsc2xd2x
=-(√2/2)csc2x+c