HP 35s User Manual page 2

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HP 35s Solving numeric integration problems
Numeric integration
Numeric integration has many uses in different areas of science. One of the more common ways to visualize integration
is that of the area under a curve to the X-axis between two points.
Using the integration function
The HP 35s has a very powerful numeric integrator built into the calculator. This function is found above the
and is access by pressing ¹
equation and then to integrate it between an upper and lower limit of integration.
The general approach to integrate an equation will be:
Step 1: If the equation that defines the integrand's function isn't stored in the equation list, key it in and leave
Equation mode. The equation usually contains just an expression.
Step 2: Enter the limits of integration:
in RPN mode, key in the lower limit and press
in algebraic mode, key in the lower limit, press
Step 3: Display the equation: Press
cursor keys) to display the desired equation.
Step 4: Select the variable of integration: Press ¹
indicate the proper variable. This starts the calculation.
Note that using the integration function uses much more of the calculator's memory than any other operation and,
although highly unlikely, if a MEMORY FULL message is shown, refer to appendix B in the HP 35s manual for more
information on what steps to take.
You can halt a running integration calculation by pressing
available until the calculation finishes normally.
The display format setting chosen through the ¹
and used for the result. The integration is more precise but takes much longer in the ALL setting (¹
the FIX (¹ ), SCI (¹
uncertainty of the result ends up in the Y–register, pushing the limits of integration up into the T– and Z–registers.
This training aid cannot begin to illustrate the wide range of applications available using the built-in numeric integration
function, but it can illustrate some of the more common uses. For additional information, see chapters 8 and 15 of the HP
35s User's Guide.
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. The method used in this training aid will be to enter the function to integrate as an
and, if necessary, scroll through the equation list (press the
menu affects the level of accuracy assumed for your function
), and ENG (¹
- 2 -
, then key in the upper limit;
, then key in the upper limit.
and then press the appropriate key on the HP 35s to
or . However, no information about the integration is
) modes with more digits displayed. The
HP 35s Solving numeric integration problems - Version 1.0
key
or
) and in