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555

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 555

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

2/11/2010
For 1e<t<1 \frac {1}{e} < t < 1, find the minimum value of \int_0^1 |xe^{ \minus{} x} \minus{} tx|dx.
calculusintegrationlogarithmsderivativefunctioncalculus computations