微积分Evaluate the indefinite integral.Evaluate the indefinite integ_数学解答

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

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解答

(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