Integral of $$$\frac{a^{b} \sqrt{\left(- a + x\right) \left(b - x\right)}}{x}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\frac{a^{b} \sqrt{\left(- a + x\right) \left(b - x\right)}}{x}$$$ with respect to $$$x$$$, with steps shown.

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Find $$$\int \frac{a^{b} \sqrt{\left(- a + x\right) \left(b - x\right)}}{x}\, dx$$$.