Ws 6.6 Improper Integrals Worksheet Page 7
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7Calculus Maximus
WS 6.6: Improper Integrals
1
4
x
x .
14. (AP 2010B-5) Let f and g be the functions defined by
f x
and
g x
, for all
0
2
x
1 4
x
0, if the maximum exists. Find
(a) Find the absolute maximum value of g on the open interval
0, if the minimum exists. Justify
the absolute minimum value of g on the open interval
your answers.
x ,
(b) Find the area of the unbounded region in the first quadrant to the right of the vertical line
1
below the graph of f, and above the graph of g.
Page 7 of 7
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