Question

\text { Let } g(x)=\int_{0}^{x} f(t) d t, \text { where } f \text { is the function whose graph is shown. } (a) Evaluate g(x) for x= 0, 5,

10, 15, 20, 25, and 30. (b) Estimate g(35). (Use the midpoint to get the most precise estimate.) (c) Where does g have a maximum and a minimum value? minimumX= maximumX = (d) Sketch a rough graph of g.

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