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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫cos⁡2xcos⁡xdx\int \frac{\cos 2 x}{\cos x} d x is equal to
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Correct option: D
2sin⁡x−log⁡∣(sec⁡x+tan⁡x)∣+c2 \sin x-\log |(\sec x+\tan x)|+c
Option D is correct because the integral simplifies to 2sin⁡x−log⁡∣sec⁡x+tan⁡x∣+c2\sin x - \log |\sec x + \tan x| + c after using the trigonometric identity cos⁡2x=2cos⁡2x−1\cos 2x = 2\cos^2 x - 1.

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