Chapter 5.2, Problem 26E

a)

To determine

To find: an approximation to the integral ${\displaystyle {\int }_0^4\left(x^2-3x\right)dx}$ using a Riemann sum with right endpoints.

b)

To determine

To draw: a diagram similar to figure 3 to illustrate the approximation in part (a).

c)

To determine

To evaluate: the integral ${\displaystyle {\int }_0^4\left(x^2-3x\right)dx}$ using Theorem 4.

d)

To determine

To draw: a diagram similar to figure 4 to illustrate the integral in part (c) as a difference of areas.