Question: Let Aba, denote the area under the curve y = x2 over the interval [a, b]. (a) Prove that Ab0 = b3/3 (b) Show that

Let Aba, denote the area under the curve y = x2 over the interval [a, b].
(a) Prove that Ab0 = b3/3
(b) Show that Aba = b3/3 - a3/3. Assume that a ≥ 0.

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