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If m, n in R, then the value of I(m,n)=...

If `m, n in R`, then the value of `I(m,n)=int_(0)^(1) t^(m)(1+t)^(n)dt` is -

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
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