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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The definite integral ∫011−x1+xdx\int\limits_{0}^1 \sqrt{\frac{1-x}{1+x}} d x is equal to
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Correct option: C
π2−1\frac{\pi}{2}-1
Option C (π2−1\frac{\pi}{2}-1) is correct because it is the result of integrating the given definite integral after rationalizing the denominator.

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