Solved: Evaluating a Line Integral of a Vector Field In Exercises 33 and 34, use a
Chapter 15, Problem 34(choose chapter or problem)
In Exercises 33 and 34, use a computer algebra system to evaluate the integral
\(\int_{C} \mathbf{F} \cdot d \mathbf{r}\)
where C is represented by r(t).
\(\mathbf{F}(x, y, z)=\frac{x \mathbf{i}+y \mathbf{j}+z \mathbf{k}}{\sqrt{x^{2}+y^{2}+z^{2}}}\)
\(C: \mathbf{r}(t)=t \mathbf{i}+t \mathbf{j}+e^{t} \mathbf{k}, \quad 0 \leq t \leq 2\)
Text Transcription:
int_{C} F cdot dr
F(x, y, z) = xi + yj + zk / sqrt{x^2 + y^2 + z^2}
C: r(t) = ti + tj + e^{t}k, 0 leq t leq 2
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