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The value (2^(2011) I1) /( 1005I2) , whe...

The value `(2^(2011) I_1) /( 1005I_2) `, where `I_(1) = int_(0)^(1) x^(1004) (1- x)^(1004) dx and I_(2) = int_(0)^(1) x^(1004) (1-x^(2010) )^(1004) dx` is

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