高数定积分求∫x^2dx/(x^2+1)]的解.

问题描述:

高数定积分求∫x^2dx/(x^2+1)]的解.


∫x²dx/(x²+1)
=∫[(x²+1)-1]/(x²+1)dx
=∫[1-1/(x²+1)]dx
=x-acrtanx+C