MathDB
Today's calculation of Integral 744

Source:

August 29, 2011
calculusintegrationinequalitiescalculus computations

Problem Statement

Let a, ba,\ b be real numbers. If ∫03(ax−b)2dx≤3\int_0^3 (ax-b)^2dx\leq 3 holds, then find the values of a, ba,\ b such that ∫03(x−3)(ax−b)dx\int_0^3 (x-3)(ax-b)dx is minimized.
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