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The uncertainty indicates that the displayed digits of the approximation
might not include any digits that could be considered accurate. Actually,
this approximation is more accurate than its uncertainty indicates.
Keystrokes
®
´ CLEAR u
(hold)
The actual value of this integral, correct to five significant digits, is
-3
7.7805×10
. Therefore, the error in this approximation is about
(7.7858 7.7805)×10
uncertainty, 1.45×10
in the approximation; the actual error will generally be smaller.
Now calculate the integral in i 3 and compare the accuracy of the
resulting approximation to that of the i 2 approximation.
Keystrokes
´ i 3
) )
´ f 0
®
®
´ CLEAR u
(hold)
Appendix E: A Detailed Look at
Display
7.79
7785820888
-3
-6
= 5.3×10
. This error is considerably less than the
-3
The uncertainty is only an upper bound on the error
Display
7.786
3.142
7.786
1.448
7.786
7785820888
-03
Return
display.
All 10 digits of i 2
approximation.
–03
Changes display format
to i 3.
00
Rolls down stack until
upper limit appears in X-
register.
–03
Integral approximated in
i 3
–04
Uncertainty of i 3
approximation.
–03
Returns approximation to
display.
All 10 digits of i
3 approximation.
243
f
approximation
to
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