Worksheet 6.2 - Areas Between Curves Worksheets With Answers - Calculus Maximus Page 2
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6Calculus Maximus
WS 6.2: Areas between Curves
3. (Calculator permitted) Let R be the shaded region enclosed by the
2
x
graphs of
y
e
,
y
sin 3
x , and the y-axis as shown at right.
Which of the following gives the approximate area of the region R?
(A) 1.139
(B) 1.445
(C) 1.869
(D) 2.114
(E) 2.340
1
x
4. Let f and g be the functions given by
f x
e and
g x
. Which of the following gives the area
x
of the region enclosed by the graphs of f and g between
x
1
and
x
2
?
1
1
1
2
2
2
2
(A)
(B)
(C)
(D)
(E)
e
e
ln 2
ln 2 e
e
e
e
e
ln 2
2
2
e
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