Casio fx-9750G PLUS - 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