Parameterization of a line segment for a line integral

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My question is on the line below where it says "Along the path...": I have no idea where that x+z component came from. I'm sure it's from the parameterization of the straight segment, but I'm not sure what process you use to get that. Can someone show steps? Thank you.

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Turns out @Bye_World was correct -- it was a typo. F was supposed to originally be given as < whatever, x+z, whatever> and was incorrectly given as < whatever, x, whatever>. At least it explains why I was so confused.