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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(3x2tan⁡1x−xsec⁡21x)dx\int\left(3 x^2 \tan \frac{1}{x}-x \sec ^2 \frac{1}{x}\right) d x is equal to
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Correct option: C
x3tan⁡1x+cx^3 \tan \frac{1}{x}+c
Option C (x3tan⁡1x+cx^3 \tan \frac{{1}}{{x}}+c) is correct because the integral is solved using integration by parts and simplification.

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