∫(1/(√x (1+x))) dx等于?
问题描述:
∫(1/(√x (1+x))) dx等于?
答
设√x=t,则x=t²,dx=2tdt
∴原式=2∫dt/(1+t²)
=2arctant+C (C是积分常数)
=2arctan(√x)+C