MathDB
Today's calculation of Integral 432

Source: 2009 Hokkaido University entrance exam/Science, 2nd Round

March 13, 2009
calculusintegrationfunctionlogarithmscalculus computations

Problem Statement

Define the function f(t)\equal{}\int_0^1 (|e^x\minus{}t|\plus{}|e^{2x}\minus{}t|)dx. Find the minimum value of f(t) f(t) for 1≤t≤e 1\leq t\leq e.
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