If $\int \frac{\cos 4 x+1}{\cot x-\tan x} d x=k \cos 4 x+c$ then

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{\cos 4 x+1}{\cot x-\tan x} d x=k \cos 4 x+c

then

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Correct option: B

k=-1 / 8

Option B (

k=-1 / 8

) is correct because after simplifying the integral and solving, the value of k is found to be -1/8.

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