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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1+tan⁡xx+log⁡sec⁡xdx=\int \frac{1+\tan x}{x+\log \sec x} d x=
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Correct option: A
log⁡(x+log⁡sec⁡x)+c\log (x+\log \sec x)+c
Option A is correct because the integral simplifies to log⁡(x+log⁡sec⁡x)+c\log(x + \log \sec x) + c by recognizing the numerator as the derivative of the denominator.

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