4 integration calculations – Casio fx-9750G PLUS User Manual
Page 88
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