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Mathematics
Mathematics
Problem
Find the length of the curve correct to four decimal places.
r
(
t
)
=
⟨
cos
π
t
,
2
t
,
sin
2
π
t
⟩
,
from
(
1
,
0
,
0
)
to
(
1
,
4
,
0
)
\mathbf{r}(t) = \langle \cos \pi t, 2t, \sin 2\pi t \rangle, \quad \text{from } (1, 0, 0) \text{ to } (1, 4, 0)
r
(
t
)
=
⟨
cos
π
t
,
2
t
,
sin
2
π
t
⟩
,
from
(
1
,
0
,
0
)
to
(
1
,
4
,
0
)
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