Chapter 14.2, Problem 2QCE

Let R be the triangular region in the $xy-\text{plane}$ with vertices $(0,0),(3,0),\text{and}\text{(0,4)}\text{.}$ Supply the missing portions of the integrals.

(a) Treating R as a type I region, ${\displaystyle \underset{R}{\iint }f(x,y)dA={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}f(x,y)\text{\_\_\_\_\_}}}}$

(b) Treating R as a type II region, ${\displaystyle \underset{R}{\iint }f(x,y)dA=}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}f(x,y)\text{\_\_\_\_\_}}}$