Line Integrals of Vector Fields // Big Idea, Definition & Formula

Previously in the Vector Calculus playlist (see below), we have seen the idea of a Line Integral which was an accumulation of some function along a curve. In this video we're going to look at case where we begin with a vector field and want to measure the accumulation of the field tangential to the curve. A great example of this is the physics concept of work done by a field on a particle moving along a curve. In this video we will define the basic concept of the line integral of a vector field along a curve and then determine a formula in terms of a particular parametrization of the curve.

MY VECTOR CALCULUS PLAYLIST:
►VECTOR CALCULUS (Calc IV) Calculus IV: Vector Calculus (Line In...

0:00 Big Idea
1:03 Work
2:43 Definition
7:00 Formula

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►LINEAR ALGEBRA: Linear Algebra (Full Course)
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): Calculus III: Multivariable Calculus ...
►DIFFERENTIAL EQUATIONS: How to solve ODEs with infinite serie...

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