Chapter 4.3, Problem 65E

Let $g\left(x\right)={\displaystyle {\int }_0^{x}f\left(t\right)}dt$ where f is the function whose

graph is shown.

(a) At what values of x do the local maximum and minimum values of g occur?

(b) Where does g attain its absolute maximum value?

(c) On what intervals is g concave downward?

(d) Sketch the graph of g.