Casio fx-570MS - Manual (Page 36)

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Solving Integrations, with an Emphasis on Definite Integrals
Example 2 Example 2
Explanation Explanation
Operation
Determine the area enclosed by y = 4 – x 2 and the x -axis.
First, solve y = 4 – x 2 and find the x -intercepts. Use this to determine the
integration partition, whose definite integral value is the area.
1 .
Select the EQN Mode, and then solve y = 4 – x 2 .
F F F 1 r
(Degree?) 2
(a?) D 1 =
(b?) 0 =
(c?) 4 =
2 .
The solutions are 2 and –2.
3 .
Select the COMP Mode and then calculate integration values for y = 4 – x 2 from x = –2 to x = 2.
F 1
d 4 , p x K P D 2 P 2 T =
4 .
This produces a definite integral value of 10.66666667.
This above tells us that the area being calculated is 10.66666667 (= 32/3).
a b
f (x)
] [