Evaluating a Line Integral of a Vector Field In Exercises 33 and 34, use a computer
Chapter 15, Problem 33(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).
\(\mathbf{F}(x, y ; z)=x^{2} z \mathbf{i}+6 y \mathbf{j}+y z^{2} \mathbf{k}\)
\(C: \mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+\ln t \mathbf{k}, \quad 1 \leq t \leq 3\)
Text Transcription:
int_{C} F cdot dr
F(x, y ; z) = x^{2} zi + 6yj + yz^{2}k
C: r(t) = ti + t^{2} j + ln tk, 1 leq t leq 3
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