Worksheet 6.2 - Areas Between Curves Worksheets With Answers - Calculus Maximus Page 4
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6Calculus Maximus
WS 6.2: Areas between Curves
7. Sketch the region enclosed by the given curves. Decide to slice it vertically or horizontally. Draw your
representative rectangle and label its height and width. Then find the area of the region, showing your
integral set up.
1
1
x
3
(a)
y
sin
x ,
y
e ,
x
0
,
x
(b)
y
,
y
,
x
2
(c)
y
x
x ,
y
3
x (2 lobes)
2
2
x
x
2
2
(d)
x
2
y ,
x
y
1
(e)
y
cos
x ,
y
sin 2
x ,
x
0
,
x
(2 lobes)
(f) y
x ,
y
x
2
2
8. Use your calculator to identify the region enclosed by the give graphs. Find and store the points of
intersection, label them on your paper, and use them in your integral set up. Then find the area of the
region enclosed by the two functions.
2
x
2
(a)
x
y ,
y
x
2
(b)
y
e ,
y
2
x
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