1.
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Question: SCalcCC2 5.9.02.
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Section 5.9 (Homework)
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1
2 3456
2 4.253322
Total
16.25/16.25
Description
Approximate Integration
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The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate the
following where
f
is the function whose graph is shown below it.
The estimates were
0.7812
,
0.8672
,
0.8631
, and
0.9560
, and the same number of subintervals
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were used in each case.
(a) Which rule produced which estimate?
L
n
=
0.9560
T
n
=
0.8672
M
n
=
0.8631
R
n
=
0.7812
(b) Between which two approximations does the true value of the integral lie?
0.8631
(smaller approximation)
0.8672
(larger approximation)
[SCalcCC2 5.9.04.] Draw the graph of
f
(
x
) = sin(
x
2
/2) in the viewing rectangle [0,1] by [0,0.5]
and let
I
be the following.
(a) Use the graph to decide whether
L
2
,
R
2
,
M
2
, and
T
2
underestimate or
overestimate
I
.
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 Spring '08
 Mccollum

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