JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int x^{-6}\left(1+2 x^3\right)^{2 / 3} d x

equals

View answer and explanation

Correct option: A

\frac{-1}{5}\left(2+x^{-3}\right)^{5 / 3}+c

Option A (

\frac{-1}{5}\left(2+x^{-3}\right)^{5 / 3}+c

) is correct because after substitution and integration, the expression simplifies to this form.

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