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I Berekeningen van een bepaalde integraal [OPTN]-[CALC]-[°dx]
Om een bepaalde integraal te berekenen, kunt u kiezen tussen twee formules.
*(CALC) (°
dx) f(x) a b tol
(
a
: beginpunt,
b
: eindpunt,
tol
: tolerantie)
Gebied van
a
b
f
(
x
)
dx
is berekend
Zoals hierboven weergegeven, worden integraalberekeningen uitgevoerd door de berekening
van de integraalwaarden van
a tot b van de functie y = f (x) waarbij a x b, en f (x) 0. Dit
berekent de oppervlakte van het schaduwgebied in de afbeelding.
Voorbeeld Bereken de volgende bepaalde integraal met een tolerantie van
tol =
1E – 4
Voer de functie f
(x) in.
*(CALC)(°
dx)ATVBTC
Voer het beginpunt en het eindpunt in.
@D
Voer de tolerantiewaarde in.
@CU
Houd daarom met het volgende rekening om een zo juist mogelijk resultaat te krijgen.
(1) Voor oppervlakteberekening met functies die op het interval [
a, b] ook negatief zijn,
integreert u het positief en het negatief deel apart en voegt u daarna de resultaten samen.
Positief
deel (
S
)
Negatief deel (
S
)
Positief deel (S) Negatief deel (S)
f
(
x
),
a
,
b
,
tol
)
a
b
f
(
x
)
d
x
f
(
x
),
a
,
b
,
tol
)
a
b
f
(
x
)
d
x
1
5
(2x
2
+ 3x + 4) dx
1
5
(2x
2
+ 3x + 4) dx
a
b
f
(
x
)
dx =
a
c
f
(
x
)
dx
+ (–
c
b
f
(
x
)
dx
)
a
b
f
(
x
)
dx =
a
c
f
(
x
)
dx
+ (–
c
b
f
(
x
)
dx
)
65


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