Chapter 5.5, Problem 16ES

a.

To determine

To graph: The region represented by ${\displaystyle \underset{-7}{\overset{-2}{\int }}4dx}$ and evaluate the integral by using the graph and the formulas of geometry.

b.

To determine

To graph: The region represented by ${\displaystyle \underset{-\frac{\pi }{2}}{\overset{\frac{\pi }{2}}{\int }}\sin xdx}$ and evaluate the integral by using the graph and the formulas of geometry.

c.

To determine

To graph: The region represented by ${\displaystyle \underset{-3}{\overset{2}{\int }}\left|3x-2\right|dx}$ and evaluate the integral by using the graph and the formulas of geometry.

d.

To determine

To graph: The region represented by ${\displaystyle \underset{-2}{\overset{0}{\int }}\sqrt{4-x^2}dx}$ and evaluate the integral by using the graph and the formulas of geometry.