H^isymbolicl ok fi^(equationl 1 0 (0x (0 – HP 48g Graphing Calculator User Manual
Page 243
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5. Enter the name of the original integration variable in the improper
integral and press fSTO ).
6
. Enter the name of the new integration variable and press (SO
to compute the derivative of the transformation expression with
respect to the new integration variable.
7.
Press
Q fEVAll
OK to compute the transformed integrand
and return it to the
E X P R :
held.
8
. Enter the new variable of integration into the VFiRs field.
9. Enter the lower limit of integration into the Lus field. Use
? ' wherever you need to include cc^.
10. Press
to return.
..C , transform the limit, and press i...i
For the arctangent transformation above, y = arctan,r. you must
find the arctangent of the limit to transform it. Note that this
function is the inverse of that used to transform the expression
above.
11
. R,epeat the previous two steps for the upper limit, beginning and
ending in the HI“ field.
12. Make sure that the result type is Numeric and set the desired
number format.
13. Press OK to compute the numeric integral.
Example:
Compute the following improper integral:
----------- —da:
j ^ a* (a" +
1
)
20
Step 1:
Open the .l.NTEGRHTfc. form and enter the integrand of the
improper integral.
H^iSYMBOLICl OK
fi^(EQUATIONl 1 0 (0X (0
S)0 ©X (0 1 [
enter
)
iNTEtjRATEI
VAR:
LD:
HI:
RESULT:
Symbolic
ENTER EKPRESSIUN___________________
Calculus and Symbolic Manipulation 20-3