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5 integration calculations – Casio fx-9750G Differential/Quadratic Differential, Integration, Value User Manual

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72

3-5 Integration Calculations

To perform integration calculations, first display the function analysis menu, and then
input the values shown in the formula below.

4

(

dx

)

f(x)

,

a

,

b

,

n

)

(

f (x), a, b, n)

a

b

f (x)dx, N = 2

n

N

number of divisions

Integration calculations are performed by applying Simpson’s Rule for the

f (x)

func-

tion you input. This method requires that the number divisions be defined as

N =

2

n

,

where the value of

n

is an integer in the range of 1 through 9. If you do not specify a

value for

n

, the calculator automatically assigns a value in accordance with the inte-

gration being performed.

As shown in the illustration above, integration calculations are performed by calcu-
lating integral values from

a

through

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 illustra-

tion.

* If

f (x) <

0

where

a

< x < b

, the surface area calculation produces negative values

(surface area

×

– 1).

Number of Divisions (value for

n

in N = 2

n

,

n

is an integer from 1 through 9)

End Point

Start Point

Area of

a

b

f (x)dx

is calculated

P.64

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