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

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