Chapter 14.3, Problem 64E

To determine

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