Finding The Area Between Two Curves - Texas Instruments TI-84 Plus Manual

TI-83, TI-83 Plus, TI-84 Plus Guide
−
Set
Xmin = 7, Xmax = 0,
ZOOM ▲ [ZoomFit] ENTER .
Press
2nd TRACE (CALC) 7 [∫f(x)dx].
Lower Limit?
right.
Press
ENTER .
and obtain the screen shown to the right.
Press
ENTER .
zontal axis from the lower limit to the upper limit is shaded.
The value of the integral is shown at the bottom of the screen.
CAUTION: If you type in a value for the lower and/or upper limit (that is, the input at the
endpoint) that is not visible on the graphics screen, you will get an error message when you
attempt to evaluate the integral. Be certain that these limits are included in the interval from
to before using this method.
Xmin Xmax

FINDING THE AREA BETWEEN TWO CURVES

the region between two functions uses many of the techniques presented in preceding sections.
If the two functions intersect, you need to first find the input values of the point(s) of intersec-
tion. We illustrate these ideas as they are presented in Example 4 of Section 5.4 of the text.
Clear all functions from the
Enter the function s(t) = 3.7(1.194
3
a(t) = 0.04t – 0.54t
as the input variable in the
X
From Figure 5.56 in the text, we see that the regions under
discussion use
Press
WINDOW ,
To better view the points of intersection, reset
Ymin ≈ − 10
and
Note that
TRACE
values, and we set
displayed coordinates do not cover a portion of the graph
when we trace.
Copyright © Houghton Mifflin Company. All rights reserved.
and draw the graph of
Press and obtain the screen shown to the
7
(−)
The calculator now asks
The region between the function and the hori-
list and turn off the stat plots.
Y=
) in
t
2
+ 2.5t + 4.47 in
list.)
Y=
Xmin = 0, Xmax = 21, Ymin = 0, and Ymax ≈ 160.
set these values, and then press
Ymax ≈ 60
. Press
GRAPH
can be used to estimate these maximum
to a value less than 0 so that the
Ymin
with
Y1
The calculator asks
Press
Upper Limit?
The process of finding the area of
and the function
Y1
. (Remember to use
Y2
.
GRAPH
Xmax ≈ 16,
.
0
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