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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫3+2cos⁡x(2+3cos⁡x)2dx\int \frac{3+2 \cos x}{(2+3 \cos x)^{2}} d x is equal to
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Correct option: A
(sin⁡x2+3cos⁡x)+c\left(\frac{\sin x}{2+3 \cos x}\right)+c
Option A ((sin⁡x2+3cos⁡x)+c\left(\frac{{\sin x}}{{2+3 \cos x}}\right)+c) is correct because differentiating this expression results in the integrand.

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