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Test Symbolic Expansion
I will use a numeric example to test the symbolic expansion. Evaluate then basic integrals
I
(
-
e
1
),
I
(
e
1
),
I
(
-
e
5
), and
I
(
e
0
).
I
(
-
e
1
)
=
15.5551588727087865579456027522749969092112909472,
(16)
I
(
e
1
)
=
1.88326583323058247475968437222597866805394080504,
(17)
I
(
-
e
5
)
=
7.07042777739491562524941501012375160488888670702,
(18)
I
(
e
0
)
=
5.20183713283531436045024182994033810742118035674
(19)
Substitute the values of
I
(
-
e
1
),
I
(
e
1
),
I
(
-
e
5
), and
I
(
e
0
) into equation
15
.
I
(
m
)=0.02541924425179893774029322781478333663469179658
(20)
The test of the symbolic value in equation
20
matches the numerical integration value in equation
3
.
Check this page.
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T
T
Hgold
, version 3.05.
On 27 Mar 2002, 11:10.