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[Solution] (a) Graph x^3-5 x^2+4 x, marking x=1,2.3,4,5. (b) Use your graph and the area interpretation of the definite integral to decide which of the

Question: (a) Graph \(x^{3}-5 x^{2}+4 x\), marking \(x=1,2.3,4,5\).

(b) Use your graph and the area interpretation of the definite integral to decide which of the five numbers

\(I_{n}=\int_{0}^{n}\left(x^{3}-5 x^{2}+4 x\right) d x \quad\) for \(n=1,2,3,4,5\)

is largest. Which is smallest? How many of the numbers are positive? (Don't calculate the integrals.)

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