525

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 525

Source:

a,\ b

be real numbers satisfying \int_0^1 (ax\plus{}b)^2dx\equal{}1. Determine the values of

a,\ b

for which \int_0^1 3x(ax\plus{}b)\ dx is maximized.

calculusintegrationgeometryvectorinequalitiesquadraticstrigonometry