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Problem 17 Easy Difficulty

Along the curve $\mathbf{r}(t)=t \mathbf{i}-\mathbf{j}+t^{2} \mathbf{k}, 0 \leq t \leq 1,$ evaluate each
of the following integrals.
a. $\int_{C}(x+y-z) d x$
b. $\int_{C}(x+y-z) d y$
c. $\int_{C}(x+y-z) d z$

Answer

(a) $-5 / 6$
(b) 0
(c) $-7 / 12$

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Video Transcript

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