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

OTHER COURSE PLAYLISTS:
►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...  
►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...  

OTHER PLAYLISTS:
► Learning Math Series
   • 5 Tips To Make Math Practice Problems...  
►Cool Math Series:
   • Cool Math Series  

BECOME A MEMBER:
►Join:    / @drtrefor  

MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

SOCIALS:
►Twitter (math based):   / treforbazett  
►Instagram (photography based):   / treforphotography