
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 — COS0. 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:
SHad] (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
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