Chebyshev integral

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

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

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

References

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