Integration Calculations - Casio FX-9750G PLUS User's Manual & Technical Reference

3-4 Integration Calculations

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
Simpson's Rule
As shown in the illustration above, integration calculations are performed by
calculating integral values from
f (x) > 0
illustration.
k Changing Integration Calculation Methods
This calculator can use either Gauss-Kronrod Rule or Simpson's Rule to perform
P.6 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.
60
4(∫dx) f(x) ,
∫ ∫
( f(x), a,
, tol) ⇒
b
4(∫dx) f(x) ,
∫ ∫
( f(x), a, b, n)
⇒
*. This in effect calculates the surface area of the shaded area in the
f (x) < 0
a
* When on
values (surface area below the
a b tol
, , )
Tolerance
End point
Start point
b
f(x)dx
a
Area of
a b n
, , )
Number of divisions (value for
n
End point
Start point
b
f(x)dx, N = 2
n
a
a b
to for the function
x b
, the surface area calculation produces negative
< <
x
-axis).
[OPTN]-[CALC]-[ ∫ dx]
∫
b
f(x)dx
is calculated
a
is an integer from 1 through 9)
y = f (x)
where
n in N = 2 n ,
a x b
, and
< <