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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?