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Trigonometric Beta-Gamma Form
$$\int_0^{\pi/2}\sin^m x\cos^n x\,dx=\frac{\Gamma\left(\frac{m+1}{2}\right)\Gamma\left(\frac{n+1}{2}\right)}{2\Gamma\left(\frac{m+n+2}{2}\right)}$$
Usage
- Used to convert trigonometric power integrals into gamma-function expressions.
