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

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

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