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 In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral : \Beta(z_1,z_2) = \int_0^1 t^ ...

References

* Gamma and related functions {{mathanalysis-stub