Integral of $$$j_{0} x^{2} y \left(\sqrt{a^{2} + x^{2}} + \sqrt{b^{2} + x^{2}}\right)^{n}$$$ with respect to $$$x$$$
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Find $$$\int j_{0} x^{2} y \left(\sqrt{a^{2} + x^{2}} + \sqrt{b^{2} + x^{2}}\right)^{n}\, dx$$$.