Question

The graph of f is shown to the right. The function F(x) is defined by $F(x)= \int_{0}^{x} f(t)dt$ for $0\leq x\leq 4$.

a) Find F(0) and F(3).

b) Find F'(1).

c) For what value of x does F(x) have its maximum value? What is this maximum value?

d) Sketch a possible graph of F. Do not attempt to find a formula for F. (You could, but it is more work than necessary.)

9-3. The graph of f is shown to the right. The function F(x) is defined by F(z) = f0 f(t) dt for 0

Answer 1

2. Fl (x) hlx) F'(1) =f(1)= 3 ク2 P(a) ce. o )