If $\int \frac{1+\cos 8 x}{\tan 2 x-\cot 2 x} d x=a \cos 8 x+C$, then $a=$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{1+\cos 8 x}{\tan 2 x-\cot 2 x} d x=a \cos 8 x+C

, then

a=

View answer and explanation

Correct option: C

\frac{1}{16}

Option C (

\frac{1}{16}

) is correct because after simplifying the integral, the coefficient of

\cos 8x

\frac{1}{16}

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