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Eulerian Integral of the First Kind

Legendre and Whittaker and Watson's (1990) term for the beta integral

int_0^1x^p(1-x)^qdx,

whose solution is the beta function B(p+1,q+1).

See also

Beta Function, Beta Integral, Eulerian Integral of the Second Kind

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References

Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, 1990.

Referenced on Wolfram|Alpha

Eulerian Integral of the First Kind

Cite this as:

Weisstein, Eric W. "Eulerian Integral of the First Kind." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EulerianIntegraloftheFirstKind.html

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