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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1cos⁡x(1+cos⁡x)dx=\int \frac{1}{\cos x(1+\cos x)} d x=
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Correct option: D
log⁡(sec⁡x+tan⁡x)−tan⁡x2+c\log (\sec x+\tan x)-\tan \frac{x}{2}+c
Option D (log⁡(sec⁡x+tan⁡x)−tan⁡x2+c\log (\sec x+\tan x)-\tan \frac{x}{2}+c) is correct because the integral is solved using trigonometric identities and simplification.

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