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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The function ff whose graph passes through (π/4,0)(\pi / 4,0) and whose derivative is log⁡(tan⁡x)sin⁡xcos⁡x\frac{\log (\tan x)}{\sin x \cos x} is given by
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Correct option: D
12(log⁡tan⁡x)2\frac{1}{2}(\log \tan x)^2
Option D (12(log⁡tan⁡x)2\frac{1}{2}(\log \tan x)^2) is correct because integrating the derivative and using the given point yields this function.

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