how to find integral of sin^3 dx?

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\int s i n^{n} (x) d x = \frac{- s i n^{n - 1} (x) . c o s (x)}{n} + \frac{n - 1}{n} \int s i n^{n - 2} (x) d x

\int s i n^{3} (x) d x .

\int_{- 3 / 2}^{3 / 2} {sin}^{3} x {cos}^{2} x d x

\int_{- \frac{π}{4}}^{\frac{π}{4}} {sin}^{3} x d x

\int_{0}^{\frac{π}{2}} \frac{{sin}^{\frac{3}{2} x} d x}{{sin}^{\frac{3}{2}} x + {cos}^{\frac{3}{2}} x}

\int \frac{d x}{\sqrt{{sin}^{3} x {cos}^{5} x}}

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