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Problem
Problem
The function
S
(
x
)
=
∫
0
x
sin
(
π
t
2
2
)
d
t
S(x) = \int_{0}^{x} \sin\left(\frac{\pi t^2}{2}\right) dt
S
(
x
)
=
∫
0
x
sin
(
2
π
t
2
)
d
t
has two critical points in the interval
[
1
,
2.4
]
[1, 2.4]
[
1
,
2.4
]
. One of the critical points is a local minimum and the other is a local maximum. The local minimum occurs at
x
x
x
equals .....
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