MathDB
Today's calculation of Integral 773

Source: 2012 Showa University entrance exam/Medicine

January 28, 2012
calculusintegrationlogarithmscalculus computations

Problem Statement

For x≥0x\geq 0 find the value of xx by which f(x)=∫0x3t(3t−4)(x−t)dtf(x)=\int_0^x 3^t(3^t-4)(x-t)dt is minimized.
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