∫(x^2-1)/(x^2+1)dx 求它的积分?

问题描述:

∫(x^2-1)/(x^2+1)dx 求它的积分?

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