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Chebyshev integral

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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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