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$\int_{- a}^{a} \sqrt{\frac{a - x}{a + x}} dx$ is equal to

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Correct option is D

I=∫−aa a−xa+xdx=∫−aa a−xa2−x2dx=a∫−aa dxa2−x2−∫−aa xdxa2−x2=a⋅2∫0a dxa2−x2−0 ∵xa2−x2 is an odd function =2asin−1⁡xa0a⇒2asin−1⁡(1)−sin−1⁡(0)=πa

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∫−aa a−xa+xdx is equal to

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$\int_{- a}^{a} \sqrt{\frac{a - x}{a + x}} dx$ is equal to