MathDB
Today's calculation of Integral 555

Source: 2010 Sophia University entrance exam/Materials and Life Sciences

February 11, 2010
calculusintegrationlogarithmsderivativefunctioncalculus computations

Problem Statement

For 1e<t<1 \frac {1}{e} < t < 1, find the minimum value of \int_0^1 |xe^{ \minus{} x} \minus{} tx|dx.