Chebyshev integral

From Wikipedia, the free encyclopedia

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.

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