Chapter 14.2, Problem 35ES

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

If R is the region in the $xy\text{-plane}$ enclosed by $y=x^2$ and $y=1,\text{then}$

${\displaystyle \underset{R}{\iint }f(x,y)dA=2{\displaystyle {\int }_0^1{\displaystyle {\int }_{x^2}^{1}f(x,y)dydx}}}$