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Evaluate the line integral, where $ C $ is the given curve.

$ \displaystyle \int_C xe^{yz} \, ds $,

$ C $ is the line segment from $ (0, 0, 0) $ to $ (1, 2, 3) $

$\frac{1}{12} \sqrt{14}\left(e^{6}-1\right)$

Vector Calculus

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So you value it is in the grove. Well, we first paramour tries a curve and this one is easy access t wise to tea these pretty and he goes from zero to one. So this way you permit tries you get access key. Why's Tootie Easy Street is or sixty square and ps his square root off one plus one square past you square plus three square So the square root of fourteen TT So it's a square with a fourteen tp and we use a U substitution. So sixty square horse you twelve he host you So he goes from zero to one. You should goes from zero to six. He took the hue square, the fourteen titties over turf to you So that should give us this number. Integrate It will use and hide the relativists theory to you and the provinces six and zero. So should I eat six minus zero, Which is what? And that should be the answer