Sin ( ), Xsin – HP 32SII User Manual

Page 127

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Integrating

Equations

8–5

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

Example:

Sine Integral.

Certain problems in communications theory (for example, pulse transmission
through idealized networks) require calculating an integral (sometimes called
the sine integral) of the form

dx

x

x

t

S

t

i

)

sin

(

)

(

0

=

Find Si (2).

Enter the expression that defines the integrand's function:

x

x

sin

If the calculator attempted to evaluate this function at x = 0, the lower limit of
integration, an error (

#

&

) would result. However, the integration

algorithm normally does not evaluate functions at either limit of integration,
unless the endpoints of the interval of integration are extremely close together
or the number of sample points is extremely large.

Keys: Display:

Description:

{

G

The current equation
or



 !

!

Selects Equation mode.

N

K

X

1%¾

Starts the equation.

{

]

1%2¾

The closing right parenthesis is
required in this case.

p

K

X

1%2ª%¾

š

1%2ª%

Terminates the equation.

{



/ 

) 

Checksum and length.

†



Leaves Equation mode.

Now integrate this function with respect to x (that is, X) from zero to 2 (t = 2).

Keys: Display:

Description:

Ÿ

{



}



Selects Radians mode.

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