sec^3x*tan^3x的不定积分

2025-02-27 15:21:32
推荐回答(1个)
回答1:

∫sec^3x*tan^3xdx
=∫sec^2xtan^2x dsecx
=∫sec^2x(sec^2x-1) dsecx
=∫(sec^4x-sec^2x) dsecx
=1/5sec^5x-1/3sec^3x+c