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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. $\int_{C}(x+y-z) d z$

(a) $-5 / 6$

(b) 0

(c) $-7 / 12$

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Campbell University

Oregon State University

Harvey Mudd College

Boston College

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