Question: Let f(t) = t and consider the two area functions and a. Evaluate A(2) and A(4). Then use geometry to find an expression for A(x),

Let f(t) = t and consider the two area functionsA(x) = Jäf(1) and F(x) = Sf(1) dt.

a. Evaluate A(2) and A(4). Then use geometry to find an expression for A(x), for x ≥ 0.

b. Evaluate F(4) and F(6). Then use geometry to find an expression for F(x), for x ≥ 2.

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

A(x) = Jf(1) F(x) = Sf(1) dt.

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