Math2210 Quiz 9 (Section 13.2, 13.3, 13.4)
Summer, 2010
Dylan Zwick
Name ________________________________________ Date ______________
Instructions: Please show all of your work as partial credit will be given where
appropriate, and there may be no credit given for problems where there is no work
shown. All answers should be completely simplified, unless otherwise stated.
1. (10 points each) Evaluate the following integrals.
2 3
(a)
∫∫  xy  y 2  dx dy
1 0
Answer : _________________________________________________________
1
(b)
1
2
∫∫ x e x dx dy
.
−1 0
Answer: _________________________________________________
2
(c)
x
2
∫ ∫ e −x dy dx
.
0 −x
Answer: _________________________________________________________
2. (10 points ) Graph the domain of integration for part c) above, and write the integral
with the order of integration switched. Don't bother evaluating the integral again.
Answer:_________________________________________________________