Chapter 14.3, Problem 62E

True or False?

In Exercises 61 and 62, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $f(r,\theta )$ is a constant function and the area of the region $S$ is twice that of the region $R$, then $2{\displaystyle {\int }_R{\displaystyle \int f(r,\theta )dA}}={\displaystyle {\int }_s{\displaystyle \int f(r,\theta )dA}}$