InterviewSolution
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If `I(m,n)=int_0^1x^(m-1)(1-x)^(n-1)dx`, then |
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Answer» `I(m,n)=int_0^1 x^(m-1)(1-x)^(n-1) dx` `=int_oo^0 1/(1+y)^(m-1)*(y/(1+y))^(n-1)*(1+y)^2dy` `=int_oo^0 y^(n-1)/(1+y)^(m+n-2)` `=int_0^oo y^(n-1)/(1+y)^(m+n)dy` `=int_0^oo x^(n-1)/(1+y)^(m+n)` option c is correct. |
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