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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)I(m+1, n-1)`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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