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Mathematics
Mathematics
Problem
For
x
>
0
x>0
x
>
0
let
H
(
x
)
=
∫
x
x
3
e
t
2
d
t
H(x)=\displaystyle \int_{x}^{x^{3}} e^{t^{2}}\,dt
H
(
x
)
=
∫
x
x
3
e
t
2
d
t
. Find a simplified expression for
H
′
(
x
)
H'(x)
H
′
(
x
)
in terms of
x
x
x
.
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