JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{3 x^2}{\sqrt{9-16 x^6}} d x=

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Correct option: A

\frac{1}{4} \sin ^{-1}\left(\frac{4 x^3}{3}\right)+c

Option A is correct because the integral can be solved using substitution, resulting in

\frac{1}{4} \sin^{-1}(\frac{4x^3}{3}) + c

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