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Since you're evaluating this integral numerically, you might think (naively
in this case, as you'll see) that you should represent the upper limit of
integration by 10
the calculator. Try it and see what happens.
Key in a subroutine that evaluates the function f(x) = xe
Keystrokes
|¥
´ b 1
"
'
*
| n
Set the calculator to Run mode. Then set the display format to i 3 and
key the limits of integration into the X- and Y-registers.
Keystrokes
|¥
´i 3
0 v
‛ 99
´ f 1
The answer returned by the calculator is clearly incorrect, since the actual
integral of f(x) = xe
you represented by 10
99
10
is very close to 1. The reason you got an incorrect answer becomes
apparent if you look at the graph of f(x) over the interval of integration:
Appendix E: A Detailed Look at
99
– which is virtually the largest number you can key into
Display
000-
001-42,21,
002-
1
003-
004-
005-
43
Display
0.000
00
1
99
0.000
00
from 0 to is exactly 1. But the problem is not that
-x
99
since the actual integral of this function from 0 to
Program mode.
1
6
12
20
32
Run mode.
Sets display format to i 3.
Keys lower limit into Y-
register.
Keys upper limit into X-
register.
Approximation of integral.
251
f
-x
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