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Beta Integral in Trigonometric Form
For:
$$m>-1,\quad n>-1$$
$$\int_0^{\pi/2}\sin^m x\cos^n x\,dx=\frac{1}{2}B\left(\frac{m+1}{2},\frac{n+1}{2}\right)$$
Usage
- Used to evaluate advanced definite integrals involving powers of sine and cosine.
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Beta Integral in Trigonometric Form
For:
$$m>-1,\quad n>-1$$
$$\int_0^{\pi/2}\sin^m x\cos^n x\,dx=\frac{1}{2}B\left(\frac{m+1}{2},\frac{n+1}{2}\right)$$
Usage
- Used to evaluate advanced definite integrals involving powers of sine and cosine.
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