The Fresnel function S ( x ) = ∫ 0 x sin ( 1 2 π t 2 ) d t was discussed in Example 4.3.3 and is used extensively in the theory of optics. Find ∫ S ( x ) d x . [Your answer will involve S ( x ).]
Solution Summary: The author explains the Fresnel function as follows: S(x)=displaystyle int
The Fresnel function
S
(
x
)
=
∫
0
x
sin
(
1
2
π
t
2
)
d
t
was discussed in Example 4.3.3 and is used extensively in the theory of optics. Find
∫
S
(
x
)
d
x
. [Your answer will involve S(x).]
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