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HP 48g Graphing Calculator User Manual

Page 248

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functions, labeled with “A” in appendix G. For example,

Sums, differences, negations, and other selected patterns

of such functions. For example, ' S I N < X > - C O S < K > '

Derivatives of all built-in functions. For example, ' I H V < 1+X"'

Polynomials whose base term is linear. For example, ’ < x - - 3 ;

1. Press

ff^iSYMBOLIC)

to open the

fori

20

gINTESRflTEj

ERPR: I

VRR:

LD:

result

:

Symbolic

ENTER ERPRESSIUN___________________

The Symbolic INTEGRATE Screen.

2. Enter the expression to be integrated in the EXPFGi field (without

the integral sign).

3. Enter the variable of integration in the VflR= field.

4. Enter the limits of integration in the LC

m

: and HI“ fields. If you

want to use formal variables for limits, be sure that the variables do
not exist in the current directory.

5. Make sure the R E S U L T field says S y m b o l ic: (press [V-), if

necessary.)

6.

Press

IJK

to compute the integral. If the result is a closed-form

expression—if there is no ..i" sign in the result—the symbolic

integration was successful. If the result still contains ..r, you can try-
rearranging the expression and evaluating again. If rearranging fails
to produce a closed-form result, you can estimate the answer with
numeric integration or approximate the symbolic integral using a

Taylor’s polynomial (see “Taylor Polynomial Approximation,” on
page 20-12).

20-8 Calculus and Symbolic Manipulation

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