IV$.$ Matching

Double Integral

a$.$ For $f(x,y)$ it is $fxy(x,y)$

Improper Double Integral

b$.$ of unbounded region or function

Function of two variables

c$.$ Integral of an integral

Triple integral

d$.$

Type I Region

e$.$ Begins and ends at same point

Type II Region

f$.$

Iterated integral

g$.w=f(x,y,z)$

Mixed partial derivative

h$.Z=f(x,y)$

Function of three variables

i$.$ Lies between $2$ horizontal lines

Closed curve

j$.$ Lies between $2$ vertical lines