tan^2xsec^4x的不定积分

问题描述:

tan^2xsec^4x的不定积分

∫tan^2xsec^4xdx
=∫tan^2xsec^2xd(tanx)
=∫tan^2x(tan^2x+1)d(tanx)
=∫(tan^4x+tan^2x)d(tanx)
=(1/5)tan^5x+(1/3)tan^3x+C