If $\smallint \,\,\frac{{\cos \,\,4x\,\, + \,\,1}}{{\cos \,\,x\,\, - \,\,\tan \,\,x}}\,\,\;dx = A\,\,\cos \,\,4x\,\, + \,\,B$,then

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \,\,\frac{{\cos \,\,4x\,\, + \,\,1}}{{\cos \,\,x\,\, - \,\,\tan \,\,x}}\,\,\;dx = A\,\,\cos \,\,4x\,\, + \,\,B

,then

View answer and explanation

Correct option: B

A = - \,\,\frac{1}{8}

The correct answer is B (

A = - \,\,\frac{1}{8}

) because after simplification and integration, the coefficient of

\cos 4x

is -1/8.

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