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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
∫dxcos⁡(2x)cos⁡(4x)\int \frac{d x}{\cos (2 x) \cos (4 x)} is equal to
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Correct option: A
122log⁡∣1+2sin⁡2x1−2sin⁡2x∣−12(log⁡∣sec⁡2x−tan⁡2x∣)+C\frac{1}{2 \sqrt{2}} \log \left|\frac{1+\sqrt{2} \sin 2 x}{1-\sqrt{2} \sin 2 x}\right|-\frac{1}{2}(\log |\sec 2 x-\tan 2 x|)+C
Option A is correct because after using trigonometric identities and integrating, the result matches the given expression.

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