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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫sin⁡2xsin⁡4x+cos⁡4xdx=\int \frac{\sin 2 x}{\sin ^4 x+\cos ^4 x} d x=
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Correct option: B
tan⁡−1(tan⁡2x)+c\tan ^{-1}\left(\tan ^2 x\right)+c
Option B is correct because the integral can be solved by rewriting the integrand using trigonometric identities and then applying substitution.

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