微积分Evaluate the indefinite integral.

分类: 作业答案 • 2021-11-12 22:57:17

问题描述：

微积分Evaluate the indefinite integral.
Evaluate the indefinite integral.(Remember to use ln(abs(u)) where appropriate.)
(1+4x)/(1+x^2) dx

答

(1+4x)/(1+x^2)dx的indefinite integral=1/(1+x^2)dx的indefinite integral+4x/(1+x^2)dx的indefinite integral
=arctanx+2*ln(abs(1+x^2))+C