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Integral of $$$x^{15} \left(x - \sqrt{x^{2} - 1}\right)^{15} \left(x^{2} - 1\right)^{\frac{15}{2}}$$$
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Find $$$\int x^{15} \left(x - \sqrt{x^{2} - 1}\right)^{15} \left(x^{2} - 1\right)^{\frac{15}{2}}\, dx$$$.
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