Calculating Difficult Integrals - HP -15C Advanced Functions Handbook

Section 2: Working With [7F] 55
Keystrokes Display
000-
001-42,21, 3
Program mode.
[g][LN]
S
9
s
002-
003-
004-
005-
006-
007-
008-
43 12
34
43 11
20
9
20
43 32
Key in the limits of integration, then press Q] J7T] 3 to calculate the
integral.
Keystrokes Display
1.000 00
0
1.000 00
3.020 -04
Run mode.
Keys in lower limit of
integration.
Keys in upper limit of
integration.
Approximation to
equivalent integral.
Uncertainty of
approximation.
The approximation agrees with the value calculated in the
previous problem for the same integral.
Evaluating Difficult Integrals
Certain conditions can prolong the time required to evaluate an
integral or can cause inaccurate results. As discussed in the
HP-15C Owner's Handbook, these conditions are related to the
nature of the integrand over the interval of integration.
One class of integrals that are difficult to calculate is improper
integrals. An improper integral is one that involves °° in at least
one of the following ways: