Ws 6.6 Improper Integrals Worksheet Page 4
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7Calculus Maximus
WS 6.6: Improper Integrals
1
9. Which of the following gives the value of the area under the curve
y
in the first quadrant?
2
x
1
(A)
(B) 1
(C)
(D)
(E) Diverges
4
2
2
1/ 2
x
,
x
1
10. Determine if
f x dx
is convergent or divergent when
f x
, and if it is
x
,
1
x
2
0
convergent, find its value.
(A) 1/2
(B) 5/2
(C) 7/2
(D) 4
(E) Diverges
x
11.
dx
=
3
2
x
2
2
2 / 3
2 / 3
2 / 3
3 2
3 2
3 2
2 / 3
(A)
(B)
2
(C)
(D)
(E) Diverges
4
2
4
Page 4 of 7
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