JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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\int \frac{\cos 2 x \sin 4 x}{\cos ^4 x\left(1+\cos ^2 2 x\right)} d x=2 \log _e(1+\cos 2 x)-\log _e\left(1+\cos ^2 2 x\right)+f(x)+\mathrm{c}

then

f(x)

View answer and explanation

Correct option: A

\sec ^2 x

Option A is correct because the integral can be solved by trigonometric manipulation and partial fractions, leading to the given expression for f(x).

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