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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫cos⁡2θ(sin⁡θ+cos⁡θ)2dθ\int \frac{\cos 2 \theta}{(\sin \theta+\cos \theta)^2} d \theta is equal to
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Correct option: B
log⁡∣sin⁡θ+cos⁡θ∣+c\log |\sin \theta+\cos \theta|+c
The correct answer is B (3) because by using the given conditions and trigonometric identities, we can derive that cot(alpha)cot(gamma) = 3.

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