If \( \int \frac{x^{3} d x}{\sqrt{1+x^{2}}}=a\left(1+x^{2}\right)^{...

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If \( \int \frac{x^{3} d x}{\sqrt{1+x^{2}}}=a\left(1+x^{2}\right)^{\frac{3}{2}}+b \sqrt{1+x^{2}}+\mathrm{C} \), then
P
(A) \( a=\frac{1}{3}, \quad b=1 \)
(B) \( a=\frac{-1}{3}, \quad b=1 \)
W
(C) \( a=\frac{-1}{3}, \quad b=-1 \)
(D) \( a=\frac{1}{3}, \quad b=-1 \)
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