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Mathematics
Mathematics
Problem
Given
F
(
x
)
=
∫
x
2
sin
x
2
e
t
2
d
t
F(x)=\displaystyle \int_{x^{2}\sin x}^{2} e^{t^{2}}\,dt
F
(
x
)
=
∫
x
2
s
i
n
x
2
e
t
2
d
t
, compute
F
′
(
π
2
)
F'\!\left(\dfrac{\pi}{2}\right)
F
′
(
2
π
)
.
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