Find the arc length of the curve
x
=
1
3
t
3
,
y
=
1
2
t
2
\displaystyle {x}=\frac{{1}}{{3}}{t}^{{3}},{y}=\frac{{1}}{{2}}{t}^{{2}}
x
=
3
1
t
3
,
y
=
2
1
t
2
with
4
≤
t
≤
5
\displaystyle {4}\le{t}\le{5}
4
≤
t
≤
5
.
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity