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in this video were going to do a complete example of computing a line integral or sometimes called a path integral in my previous video on line integrals i introduced the big formula the big idea of line integrals and the link to that video and the rest of my vector calculus playlist will be down in the description but in this video were just going to take the formula for line integrals and see how we can compute it out in well this specific example what im claiming is i have some function f x y its given here and then im trying to figure out what is the line integral of that function over a curve of radius 2 centered at the origin what this looks like visually is something like this now theres two things to point out here first is along the bottom we have that curve which is our circle of radius 2 centered at the origin and then the blue curve at the top describes the height of the function f x y above that curve and then what im actually computing here the line integral what