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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫sin⁡xcos⁡xacos⁡2x+bsin⁡2xdx=\int \frac{\sin x \cos x}{a \cos ^2 x+b \sin ^2 x} d x=
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Correct option: A
12(b−a)log⁡(acos⁡2x+bsin⁡2x)+c\frac{1}{2(b-a)} \log \left(a \cos ^2 x+b \sin ^2 x\right)+c
Option A is correct because the integral can be solved using substitution.

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