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## Homework Statement

Given a vector field

[itex] F(x,y,z) = (yz + 3x^{2})\hat{i} + xz\hat{j} + xy\hat{k}[/itex]

Calculate the line integral

[itex]∫_{A}^{B}F\bullet dl[/itex]

where A = (0,1,3) and B = (1,2,2)

## Homework Equations

Right, first of all, what is dl ? I've gone over all my course notes and don't see dl anywhere. I managed to find on this site that dl = (dx, dy, dz). Is that the case?

If so, my attempt at the solution is

[itex]∫_{A}^{B}(yz + 3x^{2})dx + xzdy + xydz[/itex]

Now what? I'm not really sure how to set the intervals from those 2 points in space. Am I supposed to do something like

[itex]∫_{0}^{1}(yz + 3x^{2})dx + ∫_{1}^{2}xzdx +∫_{3}^{2}xydz[/itex] ?

Thanks for any assistance.