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Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{1}\sqrt{9-4x^{2}}dx$

$\begin{array}{1 1} \frac{\sqrt 5}{2}-\frac{9}{4} \sin ^{-1} \frac{2}{3} \\\frac{\sqrt 5}{2}+\frac{9}{4} \sin ^{-1} \frac{2}{3} \\ \frac{\sqrt 5}{2}+\frac{9}{4} \\\frac{\sqrt 7}{2}+\frac{9}{4} \sin ^{-1} \frac{2}{3} \end{array} $

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