JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \frac{x+\frac{\pi}{4}}{2-\cos 2 x} d x

is:

View answer and explanation

Correct option: B

\frac{\pi^{2}}{6 \sqrt{3}}

The correct answer is B (

\frac{\pi^{2}}{6 \sqrt{3}}

) because it results from evaluating the definite integral using properties of definite integrals and trigonometric substitutions.

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