View source for Euler integrals

The integral

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called the Euler integral of the first kind, or the [[Beta-function|beta-function]], and

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called the Euler integral of the second kind. (The latter converges for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036500/e0365003.png" /> and is a representation of the [[Gamma-function|gamma-function]].)

These integrals were considered by L. Euler (1729–1731).