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If I(mn)=int(0)^(1)x^(m-1)(1-x)^(n-1)dx,...

If `I(mn)=int_(0)^(1)x^(m-1)(1-x)^(n-1)dx,(m, n epsilon I, m,n ge 0 )`, then

A

`I(m,n)=overset(oo)underset(0)int (x^(m-1))/((1+x)^(m+n)) dx=overset(oo)underset(0)int (x^(n-1))/((1+x)^(m+n))dx`

B

`I(m,n)=overset(oo)underset(0)int (x^(m))/((1+x)^(m+n)) dx=overset(oo)underset(0)int (x^(n))/((1+x)^(m+n))dx`

C

`I(m,n)=overset(oo)underset(0)int (x^(n))/((1+x)^(m+n-1)) dx=overset(oo)underset(0)int (x^(n))/((1+x)^(m+n-1))dx`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Chapter Test 2
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  2. If I(m)=int(0)^(oo) e^(-x)x^(n-1)dx, "then" int(0)^(oo) e^(-lambdax) x...

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  3. If I(mn)=int(0)^(1)x^(m-1)(1-x)^(n-1)dx,(m, n epsilon I, m,n ge 0 ), t...

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  14. If f(x) satisfies the requirements of Rolle's Theorem in [1,2] and f(x...

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  16. The integral int(-1)^(1) (|x+2|)/(x+2)dx is equal to

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