What is a LINE INTEGRAL // Big Idea, Derivation & Formula

My Vector Calculus playlist: /playlist/PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa A line integral - sometimes called a path integral - is an accumulation of something along a curve (again sometimes called a path). In this first video we will really focus on a curve living in 2D, with a height above that curve, and answer the question of what is the surface area that results? This will be four first major application of line integrals. The plan for this video is to introduce the big idea of line integrals, come up with a sensible definition using Reimann integration and breaking this problem into a lot of little rectangles, and then finally deriving a formula that let's us compute this easily. 0:00 Intuitive Idea 1:39 Geometric Picture 5:12 Motivating the Definition 9:30 Deriving the Formula 11:50 Line Integral Formula OTHER COURSE PLAYLISTS: ►CALCULUS I: /playlist/PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: /playlist/PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): /playlist/PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►DIFFERENTIAL EQUATIONS: /watch/1lAbsDR4puaNyc80rLnXJcxqMGQO9ZXHLP=tsil&ggZ4TT3MeexMb ►DISCRETE MATH: /playlist/PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: /playlist/PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 OTHER PLAYLISTS: ► Learning Math Series /watch/wBM_hTNMqJ6qPK5LltRkSfxqMGQO9ZXHLP=tsil&0D3siql2HPL2_ ►Cool Math Series: /playlist/PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho BECOME A MEMBER: ►Join: /channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based): http://twitter.com/treforbazett ►Instagram (photography based): http://instagram.com/treforphotography

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