K integration calculations – Casio FX-CG10 User Manual
Page 76
2-30
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.
K4(CALC)4(∫d
x
)
f
(
x
)
e
a
f
b
or
4(MATH)6(g)1(∫d
x
)
f
(
x
)
e
a
f
b
K4(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
To perform the integration calculation for the function shown below,
with a tolerance of “
tol
” = 1
E
– 4
• Math input/output mode
K4(CALC)4(∫d
x
)c
vx+
d
v+eebffw
• Linear input/output mode
Input the function
f
(
x
).
AK4(CALC) 4( ∫ d
x
) c
vx+dv+e,
Input the start point, end point, 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
(2x
2
+ 3x + 4) dx
∫
1
5
(2x
2
+ 3x + 4) dx