loupe (anl2275) – H.W. 7.8 – wolesensky – (53050)
1
This
printout
should
have
13
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001
10.0points
Which of the following integrals are im
proper?
(ii)
f
has a vertical asymptote at one or
more of
x
=
a
,
x
=
b
or
x
=
c
for some
a < c < b
.
Consequently,
integraldisplay
1
0
1
√
x
dx
is improper;
integraldisplay
100
2
loupe (anl2275) – H.W. 7.8 – wolesensky – (53050)
2
finite interval of integration and consider the
limit
I
=
lim
t
→ ∞
I
t
,
I
t
=
integraldisplay
t
2
4
xe

x/
4
dx
.
003(part2of3)10.0points
(ii) Compute the value of
I
t
.