Question: Let f(t) = 2t - 2 and consider the two area functions and F(x) = a. Evaluate A(2) and A(3). Then use geometry to find

Let f(t) = 2t - 2 and consider the two area functionsS) di A(x) = J¨f(t) dt  and F(x) = F(x) = S;f(t) dt.

a. Evaluate A(2) and A(3). Then use geometry to find an expression for A(x), for x ≥1.

b. Evaluate F(5) and F(6). Then use geometry to find an expression for F(x), for x ≥ 4.

c. Show that A(x) - F(x) is a constant and that A'(x) = F'(x) = f(x).

S) di A(x) = Jf(t) dt F(x) = S;f(t) dt.

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