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∫(x2)(a2−x2)dx\int\left(x^2\right)\left(\sqrt{a^2-x^2}\right)dx

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Final answer to the exercise

12a4arcsin⁡(xa)+xa2−x2a22+−3xa2−x2a28+−32a4arcsin⁡(xa)−(a2−x2)3x4+C0\frac{1}{2}a^{4}\arcsin\left(\frac{x}{a}\right)+\frac{x\sqrt{a^2-x^2}a^{2}}{2}+\frac{-3x\sqrt{a^2-x^2}a^{2}}{8}+\frac{-\frac{3}{2}a^{4}\arcsin\left(\frac{x}{a}\right)-\sqrt{\left(a^2-x^2\right)^{3}}x}{4}+C_0

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∫(x2)(√a2−x2)dx
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