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If I(m,n) = int0^1 t^m (1 + t)^n dt , m,...

If `I(m,n) = int_0^1 t^m (1 + t)^n dt , m, n in R`, then `I(m, n)` is :

A

`n/(1+m)I[(m+1),((n-1)]`

B

`m/(n+1)I[(m+1),((n-1)]`

C

`2^(n)/(1+m)-m/(1+n) I [m+1,n-1]`

D

2^(n)/(1+m)-m/(1+n) I [(m+1),((n-1)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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