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University of North Texas

# (a) Find an approximation to the integral $\displaystyle \int^4_0 (x^2 - 3x) \, dx$ using a Riemann sum with right endpoints and $n = 8$.(b) Draw a diagram like Figure 3 to illustrate the approximation in part (a).(c) Use Theorem 4 to evaluate $\displaystyle \int^4_0 (x^2 - 3x) \, dx$.(d) Interpret the integral in part (c) as a difference of areas and illustrate with a diagram like Figure 4.

## (a) -1.5(b) See graph(c) $-\frac{8}{3}$(d) See Diagram

Integrals

Integration

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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University of North Texas

#### Topics

Integrals

Integration

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp