Question: Let A(x) = x 0 (t) dt for (x) in Figure 8. (a) Calculate A(2), A(3), A'(2), and A'(3). (b) Find formulas for A(x)

Let A(x) = ∫xƒ(t) dt for ƒ(x) in Figure 8.

43 2 1 y 1 y = f(x) ... 2 3  4 - x

(a) Calculate A(2), A(3), A'(2), and A'(3).
(b) Find formulas for A(x) on [0, 2] and [2, 4], and sketch the graph of A.

43 2 1 y 1 y = f(x) ... 2 3 4 - x

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