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

If `I(m,n)=int_0^1 t^m(1+t)^n.dt`, then the expression for I(m,n) in terms of I(m+1,n-1) is:

A

`(2^n)/( m+1) - (n)/( m+1) l (m+1, n-1)`

B

`(n)/( m+1) l (m+1, n-1)`

C

`(2^n)/( m+1) + (n)/( m+1) l (m+1, n-1)`

D

`(m)/(n+1) l (m+1, n-1)`

Text Solution

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The correct Answer is:
A
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