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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫14cos⁡3x−3cos⁡xdx\int \frac{1}{4 \cos ^3 x-3 \cos x} d x is equal to
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Correct option: B
13ln⁡∣sec⁡3x+tan⁡3x∣+c\frac{1}{3} \ln |\sec 3 x+\tan 3 x|+c
Option B is correct because the integral simplifies to 13ln⁡∣sec⁡3x+tan⁡3x∣+c\frac{1}{3} \ln |\sec 3 x+\tan 3 x|+c after using the triple angle formula and integrating.

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