如题:∫(x-1)/(x^2+1)dx
问题描述:
如题:∫(x-1)/(x^2+1)dx
答
∫(x-1)/(x^2+1)dx
=∫x/(x^2+1)dx-∫1/(x^2+1)dx
=1/2∫1/(x^2+1)d(x^2+1)-arctanx
=1/2ln(x^2+1)-arctanx+C