3-24
k
Integration Calculations
[OPTN]
-
[CALC]
-
[
∫
dx
]
To perform integration calculations, first display the function analysis menu and then input the
values using the syntax below.
K
4
(CALC)
4
(
∫
dx
)
f
(
x
)
,
a
,
b
,
tol
!
/
( ) )
(
a
: start point,
b
: end point,
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
Input the function
f
(
x
).
A
K
4
(CALC)
4
(
∫
dx
)
c
a5
(U-Z)
4
(X)
x
+d
4
(X)
+e,
Input the start point and end point.
b,f,
Input the tolerance value.
b
!
a
(CATALOG)
a1
(A-E)
5
(E)
c
~
c
(EXP)
w
-e
!
/
( ) )
w
Example 2
When the angle unit setting is degrees, trigonometric function
integration calculation is performed using radians (Angle unit = Deg)
Examples Calculation Result Display
Note the following points to ensure correct integration values.
∫
(
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