$\mathop \smallint \limits_0^{\pi /4} \,\,\frac{{\sin \,\,x\,\, + \,\,\cos \,\,x}}{{3\,\, + \,\,\sin \,\,2x}}\,\,dx$ is equal to

$ - \,\,\frac{1}{3}\,\,\log \,\,4$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_0^{\pi /4} \,\,\frac{{\sin \,\,x\,\, + \,\,\cos \,\,x}}{{3\,\, + \,\,\sin \,\,2x}}\,\,dx

is equal to

View answer and explanation

Correct option: B

\frac{1}{4}\,\,\log \,\,3

Option B (1/4 log 3) is correct because after substitution and integration, the definite integral evaluates to (1/4)log 3.

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