不定积分∫[(arctanx)²/(1+x²)]dx解题的方法求告知.在线等

Question

不定积分∫[(arctanx)²/(1+x²)]dx解题的方法求告知.在线等

Answer 1

凑微分：1/(1+x²) dx = darctanx
∫[(arctanx)²/(1+x²)]dx
=∫[(arctanx)² darctanx
= 1/3*(arctanx)³ + C