E-AC03 · Stationary and endpoint values of an integral
For \(0\le x\le4\), define \(H(x)=\int_0^x(t^2-4t+3)\,dt\).
Find H(x) explicitly.
Find the stationary points of H and classify each as a local maximum or minimum.
Find the absolute maximum and minimum values on the closed interval, including every point where they occur.
Complete-answer checking, worked solutions and indicative written criteria.
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