View source for B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt

==Theorem==
The following formula holds:
$$B(x,y) = \displaystyle\int_0^1 (t^{x-1}+t^{y-1})(1+t)^{-x-y} \mathrm{d}t,$$
where $B$ denotes the [[beta]] function.

==Proof==

==References==
* {{BookReference|Higher Transcendental Functions Volume I|1953|Arthur Erdélyi|author2=Wilhelm Magnus|author3=Fritz Oberhettinger|author4=Francesco G. Tricomi|prev=Beta as improper integral|next=Beta is symmetric}}: $\S 1.5 (3)$

[[Category:Theorem]]
[[Category:Unproven]]