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Learn how to solve Surface Area Integrals using Parametrisation and Implicit formulas. This Calculus 3 tutorial covers everything from defining Surfaces in to setting up double integrals for area. Are you struggling to find the area of a surface that isn't just a simple plane? In this video, we break down the process of Parametrisation—turning a 3D surface into a manageable function of two variables (u and v). We also compare the Parametric Surface Area formula with the Implicit method, showing you exactly when to use each to simplify your integration. 💡Key Concepts • Defining Surfaces: Visualising graphs, level surfaces, and parametric representations. • Surface Parametrisation: Converting into functions of two parameters. • The Area Integral: Deriving and applying the formula. • Implicit vs. Explicit: How to handle surfaces defined by without full parametrisation. #Calculus3 #MultivariableCalculus #SurfaceArea #Parametrization #VectorCalculus #STEM #MathTutorial 💡Chapters: 00:00 Surfaces, parametrisation 03:12 Surface area integral 09:18 Implicitly defined surfaces, area integral 17:38 Worked examples 🔔Don’t forget to Like, Share & Subscribe for more easy-to-follow Calculus tutorials. 🔔Subscribe: / @drofeng _______________________ ⏩Playlist Link: • Physics Mechanics Full Course: From Kinema... _______________________ 💥 Follow us on Social Media 💥 🎵TikTok: https://www.tiktok.com/@drofeng?lang=en 𝕏: https://x.com/DrOfEng 🥊: https://rumble.com/user/drofeng