Casio FX-115ES PLUS User Manual page 23

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Intg: Determines the largest integer that does not exceed a value. See
21
.
Note: Using functions can slow down a calculation, which may delay display
of the result. Do not perform any subsequent operation while waiting for the
calculation result to appear. To interrupt an ongoing calculation before its
result appears, press A.
Integration and Differential Calculation Precautions
• Integration and differential calculations can be performed in the COMP
Mode (,1) only.
• The following cannot be used in
f
x
be used in
(
• When using a trigonometric function in
unit.
tol
• A smaller
time. When specifying
Precautions for Integration Calculation Only
• Integration normally requires considerable time to perform.
f
x
• For
(
)
0 where
will produce a negative result.
• Depending on the content of
error that exceeds the tolerance may be generated, causing the calculator
to display an error message.
Precautions for Differential Calculation Only
• If convergence to a solution cannot be found when
tol
value will be adjusted automatically to determine the solution.
• Non-consecutive points, abrupt fluctuation, extremely large or small points,
inflection points, and the inclusion of points that cannot be differentiated,
or a differential point or differential calculation result that approaches zero
can cause poor precision or error.
Tips for Successful Integration Calculations
When a periodic function or integration interval results in positive and
f
x
negative
(
) function values
Perform separate integrations for each cycle, or for the positive part and the
negative part, and then combine the results.
S
S
Positive
Positive
When integration values fluctuate widely due to minute shifts in the
integration interval
Divide the integration interval into multiple parts (in a way that breaks areas
of wide fluctuation into small parts), perform integration on each part, and
then combine the results.
f (x)
f (x)
a
a
x
x
x
x
0
0
1
1
2
2
: ∫,
a
b
tol
),
,
, or
value increases precision, but it also increases calculation
, use value that is 1 × 10
tol
a
x b
S
S
Negative
Negative
x
x
x
x
b
b
3
3
4
4
f
x
(
): Pol, Rec, ÷R. The following cannot
, Σ, Π.
d/dx
f
(
(as in the case of
f
x
(
) and the region of integration, calculation
b
b
f(x)dx =
f(x)dx =
a
a
b
b
f(x)dx =
f(x)dx =
a
a
b
b
+
+
f(x)dx
f(x)dx
x
x
x
x
4
4
E-22
x
), specify Rad as the angle
–14
or greater.
1
x
2
3
– 2 = –1), calculation
0
tol
input is omitted, the
c
c
f(x)dx + (–
f(x)dx + (–
a
a
Positive Part
Positive Part
Negative Part
Negative Part
S
S
(
(
Positive)
Positive)
x
x
1
1
f(x)dx +
f(x)dx +
a
a
b
b
f(x)dx)
f(x)dx)
c
c
S
S
(
(
Negative)
Negative)
x
x
2
2
f(x)dx + .....
f(x)dx + .....
x
x
1
1

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