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Exercise

$\int\frac{x^2}{\sqrt{4-\left(x+2\right)^2}}dx$

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Final answer to the exercise

$6\arcsin\left(\frac{x+2}{2}\right)+\left(-\frac{1}{2}\right)\sqrt{-x^{2}-4x}x+3\sqrt{-x^{2}-4x}$

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