Chebyshev integral

In mathematics, the Chebyshev integral, named after Pafnuty Chebyshev, is

[math]\displaystyle{ \int x^p (1-x)^q \, dx = B (x; 1+p, 1+q), }[/math]

where [math]\displaystyle{ B (x; a, b) }[/math] is an incomplete beta function.

References

• Weisstein, Eric W.. "Chebyshev Integral". http://mathworld.wolfram.com/ChebyshevIntegral.html.