Find $\int_{-1}^{1} x^2\sqrt {(1-(-A+x)^2)*(1-x^2)}\mathrm dx$

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$$\int_{-1}^{1} x^2\sqrt {(1-(-A+x)^2)*(1-x^2)}\mathrm dx$$

Where $A \in \Bbb R^+$

I need to find a definite integral on symmetric interval. I know that I would appreciate any help or link to literature I can find methods how to solve. Thanks