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Mathematics
Problem
Let
k
>
0
k>0
k
>
0
. Derive a simplified expression, in terms of
k
k
k
and
a
a
a
, for the arc length of the curve
y
=
k
x
2
y=kx^{2}
y
=
k
x
2
on the interval
[
−
a
,
a
]
[-a,a]
[
−
a
,
a
]
.
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