Renaii3ianbbiiibw3?igikraiaiisibo, Liamibaiittjbtaiibkdsaaiiamriinii, T-cos(e) – HP 48g Graphing Calculator User Manual
Page 245: Rdr den, 'xc0,2*tr,n0,l-cosc
Attention! The text in this document has been recognized automatically. To view the original document, you can use the "Original mode".
1. Press f^fEQUATIOiM 1, key in the multiple integral (include all
integral signs), and press [
ENTER
). All limits must evaluate to a
number.
2. Set the number display format to reflect the desired accuracy.
3. Press
1 to compute the result.
Example:
Find the area of the region enclosed by the cardioid,
r = 1 —
C O S 0 .
The region can be expressed by the double
integral:
2 7T /* 1 — cos 0
Jo
r dr dO
Step 1:
Key in the double integral using the EquationWriter.
EQUATION) (S0 0 ¡g 2
(30 ® (SQ 0 010
fcosl0ff»)F 00@(3R
2-TT
0
T-cos(e)
0
rdr den
20
Step 2:
Enter the double integral onto the stack and set the display
mode to Fix 3 and the angle mode to Radians.
(ENTER)
i^fMODES) F"
3
f
:
SH
ad
] (if necessary)
1: 'XC0,2*Tr,n0,l-COSC
0 ) ; r , r ) ; 0 ) '__________
renaii3ianBBiiiBW3?igiKraiaiisiBO
Step 3:
Evaluate the double integral. Then test your suspicion that
7T might be a factor in the result.
ri0(-»NUM) (ENTER)
fi^fSYMBOLIC) (NXT~)
4.712
1:
'3/2*Ti'
liamiBaiittJBtaiiBKDsaaiiaMriinii
Calculus and Symbolic Manipulation 20-5