Casio CFX-9850G PLUS, User'S Manual & Technical Reference

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60
3-4 Integration Calculations
[OPTN]
-
[CALC]
-
[
∫
dx
]
To perform integration calculations, first display the function analysis menu and
then input the values in one of the formulas shown below.
Gauss-Kronrod Rule
4
(
∫
dx
)
f ( x )
,
a
,
b
,
tol
)
∫
(
f ( x ), a ,
b
,
tol )
⇒
∫
a
b
f ( x ) dx
Simpson’s Rule
4
(
∫
dx ) f ( x )
,
a
,
b
,
n
)
∫
(
f ( x ), a, b, n ) ⇒
∫
a
b
f ( x ) dx, N = 2
n
As shown in the illustration above, integration calculations are performed by
calculating integral values from
a
to
b
for the function
y = f ( x )
where
a
<
x
<
b
, and
f ( x )
>
0
*. This in effect calculates the surface area of the shaded area in the
illustration.
* When
f ( x ) < 0
on
a
<
x
<
b
, the surface area calculation produces negative
values (surface area below the
x
-axis).
k
Changing Integration Calculation Methods
This calculator can use either Gauss-Kronrod Rule or Simpson’s Rule to perform
integration calculations. To select a method, display the set up screen and select
either “
Gaus ” (for Gauss-Kronrod Rule) or “ Simp ” (for Simpson’s Rule) for the
Integration item.
All of the explanations in this manual use Gauss-Kronrod Rule.
Area of
∫
a
b
f ( x ) dx
is calculated
Tolerance
End point
Start point
Number of divisions (value for
n
in N = 2 n ,
n
is an integer from 1 through 9)
End point
Start point
P.6