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HP HP-15C Advanced Functions Handbook

HP HP-15C
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88
SectionS:
Calculating
in
Complex
Mode
Example:
Approximate
the
integrals
f
cos x
C
sin x
Ji
=
/
ax
and
1?
= I
ax.
Jl
x + l/x
Jl
x + l/x
These integrands decay very slowly
as x
approaches infinity
and
therefore
require
a
long interval
of
integration
and a
long
execution
time.
You
can
expedite
this
calculation
by
deforming
the
^
path
of
integration
from
the
real
axis
into
the
complex plane.
According
to
complex variable theory, these
integrals
can be
combined
as
+
i°°
;,
<^\s complex integrand, evaluated along
the
line
x =
I
and y
^
0,
decays rapidly
as y
increases—like
e~y.
To
use the
previous program
to
calculate both
integrals
at the
same
time, write
a
subroutine
to
evaluate
elZ
~ 2 + 1/2 '
Keystrokes
Display
046-42,21,12
^
047-
15
048-
43 36
049-
40
Calculates
2+
172.
050-
43 36
051-
1
052-
42 30
Forms
0 + i.
053-
20
054-
12
Calculates
e'2.
055-
34
056-
10
Calculates/(2).
057-
43 32
Approximate
the
complex integral
by
integrating
the
function
from
1 +
Ch'
to 1 +
6z
using
a |
SCI
| 2
display format
to
obtain three
significant digits.
(The
integral beyond
1 +
6z
doesn't
affect
the
first
three digits.)

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HP HP-15C Specifications

General IconGeneral
BrandHP
ModelHP-15C
CategoryCalculator
LanguageEnglish

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