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Mathematics
Mathematics
Problem
Determine the exact length of the curve
y
=
1
3
(
e
3
x
−
1
)
y=\dfrac{1}{3}\left(e^{3x}-1\right)
y
=
3
1
(
e
3
x
−
1
)
on the interval
0
≤
x
≤
ln
2
3
0\le x\le \dfrac{\ln 2}{3}
0
≤
x
≤
3
ln
2
.
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