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Many vector fields - such as the gravitational field - have a remarkable property called being a conservative vector field which means that line integrals over that field are path independent. That is, if you want to compute a line integral (physically interpreted as work) the ONLY thing that matters is the endpoints, not what happens along the field. Cool! In this video we define the basic idea, and compute out an example modelling gravity that shows this is a conservative vector field. MY VECTOR CALCULUS PLAYLIST: ►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Calculus (Line Integra... OTHER COURSE PLAYLISTS: ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) ►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)... ► CALCULUS II: • Calculus II (Integration Methods, Series, ... ►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus (Vect... ►DIFFERENTIAL EQUATIONS: • How to solve ODEs with infinite series | I... OTHER PLAYLISTS: ► Learning Math Series • 5 Tips To Make Math Practice Problems Actu... ►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