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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫1cos⁡2x(1−tan⁡x)2dx=\int \frac{1}{\cos ^2 x(1-\tan x)^2} d x=
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Correct option: B
11−tan⁡x+c\frac{1}{1-\tan x}+c
Option B is correct because the integral simplifies to 11−tan⁡x+c\frac{{1}}{{1-\tan x}}+c after substitution and integration.

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