MathDB
Today's calculation of Integral 525

Source:

January 7, 2010
calculusintegrationgeometryvectorinequalitiesquadraticstrigonometry

Problem Statement

Let a, b a,\ b be real numbers satisfying \int_0^1 (ax\plus{}b)^2dx\equal{}1. Determine the values of a, b a,\ b for which \int_0^1 3x(ax\plus{}b)\ dx is maximized.
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