SOLVED:Evaluate the line integral, where C is the given curve. xe^y ds , C is the line segment from (2, 0) to (5, 4)

Introduction to the line integral | Multivariable Calculus | Khan Academy
Introduction to the line integral | Multivariable Calculus | Khan Academy

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Chapter 16, Problem 4

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

$ \displaystyle \int_C xe^y \, ds $, $ C $ is the line segment from $ (2, 0) $ to $ (5, 4) $

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Transcript

Okay, Another light on your problem. We first Paramount rice and line segment. So this one x should be to prosperity. Why should be forty and t goes from zero to what? So this is like a standard perma translation on the second. And after that, we just publicly and less computer yes, square root off the X ditty square plus square, which is five teams. So here goes from zero to one. Access to plus treaty wise Fortin and D s is five snowless expended Wish we had a tendency to the forty plus fifteen fourteen and uh, no everybody, he’s here to try to derive the form. Laugh off this first. So that’s the first set up a problem like this. If you remember the entire the review of this, this will be good. But if you don’t, we just do integration by part to figure that out first. So just eat with the forty. This one’s easy. I buy you some tissues or anything you like pussy. This one I have to be careful. No, I said this to be Hugh this TV that we should get you times minus into grow offi you is therefore let me write it here. Four over for my ass. Sorry, it’s called B…

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