① ∫▒cos2x/(cos^2 x)dx
问题描述:
① ∫▒cos2x/(cos^2 x)dx
答
2x-tanx
答
原式=∫[2(cosx)^2-1]dx/(cosx)^2
=∫[2-(secx)^2]dx
=2x-tanx+C.