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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1xsec⁡2(log⁡x)dx=\int \frac{1}{x} \sec ^2(\log x) d x=
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Correct option: A
tan⁡(log⁡x)+c\tan (\log x)+c
Option A (tan⁡(log⁡x)+c\tan (\log x)+c) is correct because it is the result of a u-substitution and applying the standard integral of sec⁡2(t)\sec^2(t).

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