Integration: The Complete Masterclass | The Complete Series | Calculus скачать в хорошем качестве

Integration: The Complete Masterclass | The Complete Series | Calculus

Master Integration from the ground up. This comprehensive "Complete Series" masterclass takes you from the very first principles of calculus to the advanced world of multivariable triple integration. Designed for students, engineers, and lifelong learners, this video provides step-by-step walkthroughs for every major integration technique. CHAPTERS: 0:00 Introduction 1:38 Fundamental Theorem of Calculus 5:04 The power Rule Basic Integration 10:37 Integration by substitution 20:22 Integration By Parts 30:20 Integration by partial fractions part 1 34:55 Integration by partial fractions Part 2 40:52 Derive the Area of a Circle Using Integration 48:08 Derive the Volume of a cone using integration 51:40 Derive the volume of a sphere using integration 55:39 Derive the volume of a cylinder using Integration 57:33 Area between two curves Part 1 1:01:09 Area between two curves Part 2 1:04:35 Area between two curves part 3 1:07:58 Double Integration Finding the Volume beneath a surface 1:16:55 Understanding Triple Integration 1:21:32 Simpson’s Rule What You Will Learn: Mastery of core techniques: Power Rule, Substitution, and Parts. How to use Partial Fractions to solve complex rational integrals. The geometric proofs for Area and Volume (Circles, Spheres, Cones). How to calculate 2D areas between multiple intersecting curves. An introduction to Multivariable Calculus (Double and Triple Integrals). Numerical methods for approximating integrals using Simpson's Rule. About JohnsMathsBook: I specialise in breaking down complex mathematical concepts into clear, manageable steps. My goal is to help you build confidence in your math skills and achieve academic success.