The value of $\int \frac{\cos x}{\sin x+\cos x} \mathrm{~d} x$ is

$\frac{x^2}{2}+\log |\sin x+\cos x|+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\cos x}{\sin x+\cos x} \mathrm{~d} x

View answer and explanation

Correct option: B

\frac{1}{2}(x+\log |\sin x+\cos x|)+C

Option B is correct because the integral can be solved by splitting the numerator and using logarithmic integration.

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