JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^5 d x}{\sqrt{\left(1+x^3\right)}}=

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Correct option: D

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

Option D (

\frac{{2}}{{9}} \sqrt{{(1+x^3)}}(x^3-2)+c

) is correct because it results from correct substitution and integration of the given function.

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