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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 is equal to
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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 derivative of x+log⁡(sec⁡x)x + \log(\sec x) is 1+tan⁡x1 + \tan x, making the integral a simple logarithmic form.

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