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If mgt0, ngt0, the definite integral I=i...

If `mgt0, ngt0`, the definite integral `I=int_0^1 x^(m-1)(1-x)^(n-1)dx` depends upon the values of `m` and `n` is denoted by `beta(m,n)`, called the beta function.Obviously, `beta(n,m)=beta(m,n)`.Now answer the question:If `int_0^oo x^(m-1)/(1+x)^(m+n)dx=k int_0^oo x^(n-1)/(1+x)^(m+n)dx`, then `k` is equal to (A) `m/n` (B) `1` (C) `n/m` (D) none of these

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If mgt0, ngt0 , the definite integral I=int_0^1 x^(m-1)(1-x)^(n-1)dx depends upon the values of m and n is denoted by beta(m,n) , called the beta function.Obviously, beta(n,m)=beta(m,n) .Now answer the question:If int_0^2 (8-x^3)^((-1)/3)dx=kbeta(1/3,2/3) , then k equals to (A) 1 (B) 1/2 (C) 1/3 (D) 1/4

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