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$\int_{2}^{7} \frac{\sqrt{x}}{\sqrt{x} + \sqrt{9 - x}} dx$ is equal to

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Correct option is C

∫27 xdxx+9−x---iI=∫27 9−x9−x+9−(9−x)dxI=∫27 9−x9−x+xdx----iiOn adding Eqs. (i) and (ii), we get2I=∫27 xx+9−x+9−xx+9−xdx=∫27 dx=|x|27=5so, I=52

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∫27 xx+9−xdx is equal to

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$\int_{2}^{7} \frac{\sqrt{x}}{\sqrt{x} + \sqrt{9 - x}} dx$ is equal to