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Homework Statement
say I have [tex] \vec{F} = ye^x\vec{i} + e^x\vec{j} [/tex] and C the line segment from the point (1,4,-2) to the point (6,7,-2).I need to find:
[tex] \int\limits_C \vec{F} d\vec{r} [/tex]
Homework Equations
The Attempt at a Solution
First I parametrize C as:
[tex] \vec{r} = 6 + 5t \vec{i} + 7+3t \vec{j} -2 \vec{k} [/tex]
Then I set up the integral as:
[tex] \int_{-1}^{0} (7+3t)e^{6+5t} \vec{i} + e^{6+5t} \vec{j}) \cdot (5\vec{i} + 3\vec{j}) dt [/tex]
is this correct so far?