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)`

A

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

B

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

C

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

D

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

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The correct Answer is:

B

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