Chapter 14.2, Problem 34ES

Determine the statement is true or false. Explain your answer.

If a region R is bounded below by $y=g_1(x)$ and above by $y=g_2(x)\text{for a}\le x\le b,\text{then}$

${\displaystyle \underset{R}{\iint }f(x,y)dA=}{\displaystyle {\int }_a^b{\displaystyle {\int }_{g_1(x)}^{g_2(x)}f(x,y)dydx}}$