Casio FX-CG10, User Manual

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2-31
k
Integration Calculations
[OPTN] - [CALC] - [
∫
d
x
]
To perform integration calculations, first display the function analysis menu and then input the
values using the syntax below.
<Math input/output mode>
K
4
(CALC)
4
(
∫
d
x
)
f
(
x
)
e a f b
or
4
(MATH)
6
(
g
)
1
(
∫
d
x
)
f
(
x
)
e a f b
<Linear input/output mode>
K
4
(CALC)
4
(
∫
d
x
)
f
(
x
)
, a , b , tol )
(
a
: lower limit,
b
: upper limit,
tol
: tolerance)
Area of
∫
a
b
f ( x ) dx
is calculated
As shown in the illustration above, integration calculations are performed by calculating
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 illustration.
Example 1 To perform the integration calculation for the function shown below,
with a tolerance of “
tol
” = 1
E
– 4
• Math input/output mode
K
4
(CALC)
4
(
∫
d
x
)
c
vx
+
d
v
+e
e
b
f
f
w
• Linear input/output mode
Input the function
f
(
x
).
A
K
4
(CALC)
4
(
∫
d
x
)
c
vx
+d
v
+e,
Input the lower limit, upper limit, and the tolerance value.
b,f,b
E-
e)
w
∫
(
f ( x ), a , b , tol
)
⇒
∫
a
b
f
(
x
)
dx
∫
(
f ( x ), a , b , tol
)
⇒
∫
a
b
f
(
x
)
dx
∫
1
5
(2 x
2
+ 3 x + 4) dx
∫
1
5
(2 x
2
+ 3 x + 4) dx