计算不定积分∫arctan√xdx
问题描述：
计算不定积分∫arctan√xdx
答
√x=tx=t²dx=2tdt∫arctan√xdx=∫2tarctantdt=∫arctantdt²=t²arctant-∫t²/(1+t²)dt=t²arctant-∫(1+t²-1)/(1+t²)dt=t²arctant-∫1-1/(1+t²)dt=t²arctant...