Hp 48g Graphing Calculator Manual do Utilizador descarregar pdf (Página 249)

100

101

7. Press [EVAL) to simplify the closed-form result.

To find the indefinite integral of a function:

form.

field (without

bolic (press {*/-], if

1 Press SYMBOLIC) ■ ■ to open the !

2. Enter the expression to be integrated in the

the integral sign).

3. Enter the variable of integration in the field. Make sure that

this variable is formal—that it doesn't exist m the current directory.

4. Enter 0 as the lower limit and the variable of integration as the

upper limit.

5. Make sure the RESULT field says Si

necessary.)

6. Press OK to compute the closed-form expression.

7. With the closed-form expression on level 1 of the stack, press (PRG)

TYF’E OEiJ-i- 3 [STACK) (NXll DRF-'N to discard the lower

limits.

8. Press fEVAL) to evaluate the result at the upper limit.

To symbolically integrate an expression that’s not integrable:

1. Derive a Taylor’s polynomial approximation to the integrand.

2. Find the symbolic integral of the Taylor’s polynomial.

Differentiation

You can differentiate a symbolic expression either one step at a time,

so you can see the substitutions—or completely in one step, so you can

go right to the final result. If your expression contains only analytic

functions (those labeled wdth “A” in appendix G), you get an explicit

derivative.

1. Press (r^fsymbolic) (T~) OK to open the

form.

2. Enter the function into the ExF'FUi field.

3. Enter the variable of differentiation into the Vi-iR: field.

4. Press [*/-], if necessary, to change the result type to Numeric;

Calculus and Symbolic Manipulation 20-9

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