Integral of $$$10 i n t \sqrt{x \left(1 - x\right)}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$10 i n t \sqrt{x \left(1 - x\right)}$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int 10 i n t \sqrt{x \left(1 - x\right)}\, dx$$$.