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108

Part of 2006 Today's Calculation Of Integral

Problems(1)

Today's calculation of integral 108

Source: Tokyo Gakugei University/mathematics entrance exam 1982

6/7/2006
For x≥0,x\geq 0, find the minimum value of xx for which ∫0x2t(2t−3)(x−t) dt\int_0^x 2^t(2^t-3)(x-t)\ dt is minimized.
calculusintegrationderivativelogarithmscalculus computations