Chebyshev integral

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

$\int x^{p}(1-x)^{q}\,dx=B(x;1+p,1+q),$

where $B(x;a,b)$ is an incomplete beta function.

References

• Weisstein, Eric W. "Chebyshev Integral". MathWorld.