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A More Detailed Look at
247
Normally you do not have to determine precisely the uncertainty in the
function. (To do so would frequently require a very complicated analy-
sis.) Generally, it's more convenient to use
or (ENG] display format
if the uncertainty in the function's values can be more easily estimated as
a relative uncertainty. On the other hand, it's more convenient to use
[Fix] display format if the uncertainty in the function's values can be
more easily estimated as an absolute uncertainty. [Fix] display format
may be inappropriate to use (leading to peculiar results) when you are
integrating a function whose magnitude and uncertainty have extremely
small values throughout the interval of integration, or a function whose
magnitude and uncertainty vary through extremely large and small
values within the interval of integration. Likewise,
display format
may be inappropriate to use (also leading to peculiar results) if the mag-
nitude ofthe function becomes much smaller than its uncertainty. If the
results of calculating an integral seem strange, it may be more appropri-
ate to calculate the integral in the alternate display format.
Calculating Integrals of Maximum Accuracy
In
or (EnG] display format, numbers can be displayed with a man-
tissa containing upto seven digits. Specifying (Sci] 8 or
9 generally
results in the same display as (sci] 7. However, the uncertainty of
integrals calculated in
8 or (SC1) 9 is smaller than the uncertainty of
integrals calculated in
7. The sameis true, of course, for integrals
calculated in (EnG) display format.
You can calculate an integral of greatest possible accuracy with the
display mode set to
(or [ENG]) 9.* If the calculator is in RUN mode,
you can do so either directly by pressing [7](sci] 9, or indirectly by
pressing 9
(MM
(when the display formatis already set
to [Sci] or [Enc]). If the calculator is in PRGM mode, however, you
cannotset the display mode directly to [sci] 8,
9, (Enc] 8, or [ENG] 9.
If you attemptto do so, the resulting keycode will indicate [Sc1] 7 or [EnG)
7, and integrals will be calculated with an uncertainty derived from a
* Provided, of course, that f(x) is calculated accurately to 10 significant digits.
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