Integral of $$$\sqrt[26]{3 \sin^{2}{\left(x \right)} - 1} \sin{\left(x \right)}$$$

The calculator will find the integral/antiderivative of $$$\sqrt[26]{3 \sin^{2}{\left(x \right)} - 1} \sin{\left(x \right)}$$$, with steps shown.

Find $$$\int \sqrt[26]{3 \sin^{2}{\left(x \right)} - 1} \sin{\left(x \right)}\, dx$$$.