\( \int x^{3} d\left(\tan ^{-1} x\right) \) is equal to
(A) \( \frac{x^{2}}{2}+\frac{1}{2} \ln \...
\( \int x^{3} d\left(\tan ^{-1} x\right) \) is equal to
(A) \( \frac{x^{2}}{2}+\frac{1}{2} \ln \left(1+x^{2}\right)+C \)
(B) \( -\frac{x^{2}}{2}+\frac{1}{2} \ln \left(1+x^{2}\right)+C \)
(C) \( -\frac{x^{2}}{2}-\frac{1}{2} \ln \left(1+x^{2}\right)+C \)
(D) \( \frac{x^{2}}{2}-\frac{1}{2} \ln \left(1+x^{2}\right)+C \)
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