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F 1 2, P 1 p 2 t = 3, Example 1 – Casio fx-570MS User Manual

Page 35

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– 32 –

Solving Integrations, with an

Emphasis on Definite Integrals

(fx-100MS/fx-115MS/fx-570MS/fx-991MS only)

Example 1

Example 1

Explanation

Explanation

Operation

Determine the area enclosed by

y

=

x

2

+ 2, the

x

-axis, and

x

= 1,

x

= 2.

The area enclosed by

y

=

f

(

x

), the

x

-axis, and

x

=

a

,

x

=

b

is generally

determined using the definite integral

b

a

f

(

x

)

dx

.

1

.

Select the COMP Mode.

F 1

2

.

Calculate the value of the definite integral values for

y

=

x

2

+ 2 from

x

= 1 to

x

= 2.

d p

x K +

2

P 1 P 2 T =

3

.

This produces a definite integral value of 4.333333333.

The above indicates that the area being calculated is 4.333333333 (= 13/3).

a

f (x)

a

x

b

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