If $\smallint \,\,\frac{{\cos \,\,4x\,\, + \,\,1}}{{\cot \,\,x\,\, - \,\,\tan \,\,x}}\,\,dx = k\,\,\cos \,\,4x + \,\,c$, then

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

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

, then

View answer and explanation

Correct option: B

k = - 1/8

Option B (

k = - 1/8

) is correct because after simplifying and integrating the given expression, the coefficient of

\cos 4x

is -1/8.

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