Finding The Area Between Curves - Texas Instruments TI-82 STATS Manual Book

Finding the Area between Curves

Problem
Procedure
Find the area of the region bounded by
f(x) = 300x / ( x
g(x) = 3cos(
x = 75
1. Press z. Select the default mode settings.
2. Press p. Set the viewing window.
Xmin=0
Xmax=100
Xscl=10
3. Press o. Turn off all functions and stat plots. Enter the
upper and lower functions.
2
Y =300Xà(X +625)
1
Y =3cos(.1X)
2
4. Press y [
CALC
displayed. Select a first curve, second curve, and guess for
the intersection toward the left side of the display. The
solution is displayed, and the value of
which is the lower limit of the integral, is stored in
.
X
5. Press y [
QUIT
and use
7 Shade(
Shade(Y ,Y ,Ans,75)
2 1
6. Press y [
QUIT
expression to evaluate the integral for the shaded region.
fnInt(Y –Y ,X,Ans,75)
1 2
The area is
325.839962
2 + 625)
.
1x)
Ymin=L5
Ymax=10
Yscl=1
Xres=1
] to select
5 5:Intersect
] to go to the home screen. Press y [
to see the area graphically.
] to return to the home screen. Enter the
.
. The graph is
at the intersection,
X
and
Ans
DRAW
Applications 17–11
]