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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫3x2x6+1dx=\int \frac{3 x^2}{x^6+1} d x=
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Correct option: B
tan⁡−1(x3)+c\tan ^{-1}\left(x^3\right)+c
Option B is correct because the integral simplifies to tan⁡−1(x3)+c\tan ^{-1}(x^3)+c after a simple substitution.

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