In mathematics, there are two types of Euler integral:[1] For positive integers m and n, the two integrals can be expressed in terms of factorials and binomial coefficients:
( n , m ) =
( n − 1 ) !
( m − 1 ) !
}}={\frac {n+m}{nm{\binom {n+m}{n}}}}=\left({\frac {1}{n}}+{\frac {1}{m}}\right){\frac {1}{\binom {n+m}{n}}}}