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# Let $\displaystyle g(x) = \int^x_0 f(t) \,dt$, where $f$ is the function whose graph is shown.(a) Evaluate $g(x)$ for $x$ = 0, 1, 2, 3, 4, 5, and 6.(b) Estimate $g(7)$.(c) Where does $g$ have a maximum value? Where does it have a minimum value?(d) Sketch a rough graph of $g$.

## max. $f(x)=0$$f^{\prime}(x)<0min. f(x)=0$$f^{\prime}(x)>0$

Integrals

Integration

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Oregon State University

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University of Michigan - Ann Arbor

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University of Nottingham

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Idaho State University

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Ohio State University

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Integrals

Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp