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255

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 255

Source: 1983 Muroran Institute of Technology entrance exam

12/29/2007
Find the value of a a for which the area of the figure surrounded by y \equal{} e^{ \minus{} x} and y \equal{} ax \plus{} 3\ (a < 0) is minimized.
calculusintegrationgeometryderivativelogarithmscalculus computations