JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{\cos 2 x}{(\sin x+\cos x)^2} d x=

View answer and explanation

Correct option: A

\log |\sin x+\cos x|+c

Option A (

\log |\sin x+\cos x|+c

) is correct because the integral simplifies to this expression after using the trigonometric identity for

\cos 2x

and simplifying the fraction.

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