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$\Large\int \frac {\sqrt x}{\sqrt{a^3-x^3}} dx=$\[(a)\;\frac{2}{3}\bigg(\frac{x}{a}\bigg)^{3/2} \qquad (b)\;\frac{2}{3}\sin^{-1}\bigg(\frac{x}{a}\bigg)^{3/2} \qquad(c)\;\frac{2}{3}\cos {-1}\bigg(\frac{x}{a}\bigg)^{3/2} \qquad(d)\;\frac{2}{3}\sin^{-1}\bigg(\frac{a}{x}\bigg)^{3/2}\]

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