MathDB
Today's calculation of Integral 813

Source:

May 9, 2012
calculusintegrationgeometryinequalitiesquadraticscalculus computations

Problem Statement

Let aa be a real number. Find the minimum value of ∫01∣ax−x3∣dx\int_0^1 |ax-x^3|dx.
How many solutions (including University Mathematics )are there for the problem?
Any advice would be appreciated. :)
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