JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The integral

\int\limits_{0}^\pi \sqrt{1+4 \sin ^2 \frac{x}{2}-4 \sin \frac{x}{2}} \,d x

equals

View answer and explanation

Correct option: B

4 \sqrt{3}-4-\frac{\pi}{3}

Option B (

4 \sqrt{3}-4-\frac{\pi}{3}

) is correct because it is obtained by simplifying the integral using trigonometric identities and evaluating the resulting integral.

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