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Mathematics
Mathematics
Problem
Find the length of the curve.
r
(
t
)
=
2
t
i
+
e
t
j
+
e
−
t
k
,
0
≤
t
≤
1
\mathbf{r}(t) = \sqrt{2}t\mathbf{i} + e^t\mathbf{j} + e^{-t}\mathbf{k}, \quad 0 \le t \le 1
r
(
t
)
=
2
t
i
+
e
t
j
+
e
−
t
k
,
0
≤
t
≤
1
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