Math2.org Math Tables:
Beta Function
(
Math
)
B(x,y) =
t
^(x-1)
(1-t)
^(y-1)
dt
B(x,y) = 2
(sin t)
^(2x-1)
(cos t)
^(2y-1)
dt
B(x,y) =
t
^(x-1)
/ (1+t)
^(x+y)
dt
B(x,y) = B(y,x)
B(x,y) =
(x)
(y) /
(x+y)
(
(x) =
Gamma Function
)
t^(x-1) (1-t)^(y-1) dt
(sin t)^(2x-1) (cos t)^(2y-1) dt
t^(x-1) / (1+t)^(x+y) dt
(x)(y) / (x+y) ((x) = Gamma Function)
