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Let $F(x) = \int_{0}^{x} f(t) \,dt$ , where $f(t)$ is given in the graph below.

(Click on the graph for a larger version.)

On a separate page, estimate $f(0),f(0.5),f(1.0),f(1.5),f(2.0),f(2.5)$ . Based on these values, estimate the values of $F(x)$ in the following table

$x =$	0	1	2	2.5
$F(x) =$

Finally, on your paper, carefully graph $F(x)$ as a function of $x$ .

You can earn partial credit on this problem.