units cubic 1
2
1
2
1
1
0
1
0
1
00
1
0 0
2
2
22
e
e
dyye
dyxedydxe
y
y
y
y
y
y
units cubic 1cos1
2
1
cos
2
1
sin
sincos
1
0
2
1
0
2
1
0
0
1
0 0
2
2
x
dxxx
dxyxdxdyyx
x
x
units cubic
6
13
3
1
3
2
2
5
3
13
3
4
25
3
13
4
3
1
4
1
0
43
1
0
32
1
0
1
0
23
1
0
1
0
22
yyyy
dxyyy
dyxxyxdydxyx
y
y
MATH 2210 12.3 Double Integrals over Non-rectangular Regions
Solutions to selected homework problems
#10 Evaluate the double integral.
#11 Note that because the limits of integration are not constant, we cannot break up the
double integral into separate integrals in x and y.
#20 Notice that the integrand is always positive so the value of the double integral must
be positive.
