∫tan^3xdx
=∫tan^2*xtanxdx
=∫（sec^2x-1)*tanxdx
=∫sec^2xtanxdx-∫tanxdx
=∫tanxd(tanx)-∫sinx/cosxdx
=1/2tan^2x+∫1/cosxd(cosx)
=1/2tan^2x+ln│cosx│+C
【数学辅导团】为您解答,如果本题有什么不明白可以追问,