Niven's theorem

ID: niven-s-theorem

Niven's theorem by Wikipedia Bot 0
Niven's theorem is a result in number theory that concerns the rationality of certain integrals. Specifically, it states that if \( a \) is a positive integer, then the integral \[ \int_0^1 x^a (1 - x)^a \, dx \] is a rational number and can be expressed in terms of the binomial coefficient.

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