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How to Integrate line charter

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hello welcome to the first video in a series of videos looking at the line integral my name is nikai rimmer helping you through this multivariable calculus journey and were entering into the area of vector calculus and it starts trying to get a good understanding of what a line integral is to start with the basics there are two main elements that make up a line integral first off youre going to have a curve in this video well talk about curves in general and how you can parametrize some basic curves and then the second element of a line integral is a function now that function might come at you in a couple of ways the function could be a scalar function a multivariable function of x and y perhaps x y and z and the second way that a function could come at you it could be part of a vector field and the vector field dotted with some other potential um basically the vector field uh will be dotted with the derivative the the tangent vector to the curve unit tangent vector all right so u

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