Ws 6.6 Improper Integrals Worksheet
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7Calculus Maximus
WS 6.6: Improper Integrals
Name_________________________________________ Date________________________ Period______
Worksheet 6.6—Improper Integrals
Show all work. No calculator unless explicitly stated.
Short Answer
1. Classify each of the integrals as proper or improper integrals. Give a clear reason for each.
dx
dx
dx
dx
5
5
5
(a)
(b)
(c)
(d)
x
x
x
2
2
2
2
5
1
2
3
(
x
2)
(
2)
(
2)
(
2)
2. Answer the following.
(a) If
f x dx K
( )
and 0
g x
( )
f x
( )
, what can we say about
g x dx
( )
?
a
a
(b) If
f x dx K
( )
and 0
f x
( )
g x
( )
, what can we say about
g x dx
( )
?
a
a
(c) If
f x dx
( )
diverges and 0
, what can we say about
g x dx
( )
?
f x
( )
g x
( )
a
a
(d) If
f x dx
( )
diverges and 0
g x
( )
f x
( )
, what can we say about
g x dx
( )
?
a
a
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