Specifying
Accuracy
The display format's setting determines the
precision
of the integration
calculation: the greater the number of digits displayed, the greater the
precision of the calculated integral (and the greater the time required
to calculate it). The fewer the number of digits displayed, the faster
the calculation,
but
the calculator will presume that
the
function is
accurate to only the number of digits specified in the display format.
To specify the
accuracy
of the integration, set the display format so
that the display shows no
more
than
the number of digits that you
consider accurate in
the
integrand's
values.
This same levelof accuracy
and
precision will be reflected in the result of integration.
Interpreting
Accuracy
After calculating the integral, the calculator places the estimated un
certainty
of that integral's result in the Y-regjster. Press
|%$y|
to view
the value of the uncertainty.
For example, if the integral Si(2)is 1.6054 ± 0.0001,
then
0.0001 is its
uncertainty.
Example:
Specifying
Accuracy.
With the display format set to SCI
2, calculate the integral in the expressionfor
Si(2)
(from the previous
example).
Keys:
Hroispl
{sc}2
Display:
1.61E0
Description:
Sets
scientific
notation
with
two
decimal
places, specifying that
the
function
is
accurate
to two decimal places.
01
ENTER
I 2
2_
2.00E0
/=1.61E0
Limits of integration.
•1
SOLVE//1
{FN}
S
Selects
routine
S
for
the
function.
•1
SOLVE//I
{/FN}
X
Integral approximated
to two decimal places,
132
8:
Numerical
Integration
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