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IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(...

`IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n` `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx` `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx` `I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx` `I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx`

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IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n (a) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx (b) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx (c) I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx (d) I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n (a) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx (b) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx (c) I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx (d) I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

If I(m,n)=int_0^1x^(m-1)(1-x)^(n-1)dx , then

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

If I(m,n)=int_(0)^(1)x^(m-1)(1-x)^(n-1)dx,(m,n in I,m,n>=0),th epsilonI(m,n)=int_(0)^(oo)(x^(m-1))/((1+x)^(m-n))dxI(m,n)=int_(0)^(oo)(x^(m-1))/((1+x)^(m+n))dxI(m,n)=int_(0)^(oo)(x^(n-1))/((1+x)^(m+n))dxI(m,n)=int_(0)^(oo)(x^(n))/((1+x)^(m+n))dx

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

I_(m, n)= int_(0)^(1) x^(m) (ln x)^(n) dx=

If I_(m,n)=int x^(m)(logx)^(n)dx then I_(m.n)=