Question

求∫（e^2x)(tanx+1)^2的不定积分

Answer 1

∫e^2xsecx^2dx+∫2e^2xtanxdx

=∫e^2xdtanx+∫tanxde^2x

=e^2x tanx-∫tanxde^2x+∫tanxde^2x+C

=e^2x tanx +C