JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^3}{\sqrt{x^2+2}} d x=

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Correct option: B

\frac{1}{3}\left(x^2+2\right)^{3 / 2}-2\left(x^2+2\right)^{1 / 2}+c

Option B is correct because the integral is solved using a substitution, resulting in

\frac{1}{3}(x^2+2)^{3/2} - 2(x^2+2)^{1/2} + c

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