MathDB
Today's calculation of Integral 785

Source: 2012 Gakusyuin University entrance exam/Science

February 10, 2012
calculusintegrationlogarithmsderivativecalculus computations

Problem Statement

For a positive real number xx, find the minimum value of f(x)=∫x2x(tln⁡t−t)dt.f(x)=\int_x^{2x} (t\ln t-t)dt.
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