Finding The Area Between Curves - Texas Instruments TI-83 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
intersection, which is the lower limit of the integral, is
stored in and
Ans
5. Press y [
QUIT
y [
] and use
7
DRAW
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
.
X
] to go to the home screen. Press
to see the area graphically.
Shade(
] to return to the home screen. Enter the
.
. The graph is
at the
X
Applications 17-11