F f f 1 r – Casio fx-570MS User Manual
Page 36
– 33 –
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)
] [