求(1-x²)/(1+x²)的积分

问题描述:

求(1-x²)/(1+x²)的积分

答:
∫[(1-x²)/(1+x²)] dx
=∫ [(-1-x²+2)/(1+x²)] dx
=∫ [-1+2/(1+x²)] dx
=-x+2arctanx+C