JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^5}{\sqrt{1+x^3}} d x=

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Correct option: C

\frac{2}{9}\left(1+x^3\right)^{3 / 2}-\frac{2}{3}\left(1+x^3\right)^{1 / 2}+c

Option C is correct because the integral can be solved by substituting

1+x^3 = t^2

and simplifying the resulting expression.

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