HP 15C Instrukcja Użytkownika Pobierz pdf (Strona 255)

Appendix E: A Detailed Look at f 255

Keystrokes

Display

0 v

0.000 00

Keys lower limit into

Y-register.

‛ 3

1 03

Keys upper limit into

X-register.

´ f 1

1.000 00

Approximation to integral.

1.824 -04

Uncertainty of

approximation.

This is the correct answer, but it took almost 60 seconds. To understand

why, compare the graph of the function over the interval of integration,

which looks about identical to that shown on page 252, to the graph of the

function between x = 0 and x = 10.

By comparing the two graphs, you can see that the function is "interesting"

only at small values of x. At greater values of x, the function is

"uninteresting," since it decreases smoothly and gradually in a very

predictable manner.

As discussed earlier, the f algorithm will sample the function with

higher densities of sample points until the disparity between successive

approximations becomes sufficiently small. In other words, the algorithm

samples the function at increasing numbers of sample points until it has

sufficient information about the function to provide an approximation that

changes insignificantly when further samples are considered.

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HP 15C Instrukcja Użytkownika Strona 255