Given α and β ∈N such that I(α,β)=∫_ ^1 t^α (1−t)^β dt show that I(α;β)=((α!β!)/((α+β+1)!))


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Question Number 89343 by Ar Brandon last updated on 17/Apr/20

$G i v e n α a n d β \in N s u c h t h a t$ $I (α, β) = \int_{}^{1} t^{α} {(1 - t)}^{β} d t$ $s h o w t h a t$ $I (α; β) = \frac{α! β!}{(α + β + 1)!}$
Commented by abdomathmax last updated on 17/Apr/20

$s i r b r a n d o n t h i s q u e s t i o n i s s o l v e d t a k e a l o o k$ $a t t h e p l a t f o r m . . .$
Commented by Ar Brandon last updated on 17/Apr/20

$I g o t i t t h a n k s$
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