Overview

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Dive into a comprehensive 3.5-hour tutorial on integration, the second major topic in calculus. Master the Substitution Rule, explore the Fundamental Theorem of Calculus, and learn to integrate products of functions. Understand Riemann sums, sigma notation, and antiderivatives. Delve into definite integrals, the Mean Value Theorem of Integration, and calculating areas between curves. Practice numerical integration techniques, trigonometric integration, and integrating polynomial fractions. Gain practical skills in finding lengths of plane curves and solving various integration problems through numerous examples and step-by-step explanations.

Syllabus

Integration 8 The Substitution Rule in Integration Part 2 Example 9.
Integration 8 The Substitution Rule in Integration Part 2 Example 8.
Integration 8 The Substitution Rule in Integration Part 2 Example 7.
Integration 8 The Substitution Rule in Integration Part 2 Example 6.
Integration 8 The Substitution Rule in Integration Part 2 Example 5.
Integration 8 The Substitution Rule in Integration Part 2 Example 4.
Integration 8 The Substitution Rule in Integration Part 2 Example 3.
Integration 8 The Substitution Rule in Integration Part 2 Example 2.
Integration 8 The Substitution Rule in Integration Part 2 Example 1.
Integration 8 The Substitution Rule for Integration Part 1.
Integration 7 Integrating the Product of Functions Part 2 Example 2.
Integration 7 Integrating the Product of Functions Part 2 Example 1.
Integration 7 Integrating the Product of Functions Part 1.
Integration 6 The Fundamental Theorem of Calculus.
Integration 5 Mean Value Theorem of Integration Part 2.
Integration 5 Mean Value Theorem of Integration Part 1.
Integration 4 The Definite Integral Part 3 Example 4.
Integration 4 The Definite Integral Part 3 Example 3.
Integration 4 The Definite Integral Part 3 Example 2.
Integration 4 The Definite Integral Part 3 Example 1.
Integration 4 The Definite Integral Part 2.
Integration 4 The Definite Integral Part 1.
Integration 3 The Antiderivative.
Integration 2 Sigma Notation Part 3.mov.
Integration 2 Sigma Notation Part 2.mov.
Integration 2 Sigma Notation Part 1.mov.
Integration 1 Riemann Sums Part 3.mov.
Integration 1 Riemann Sums Part 2.mov.
Integration 1 Riemann Sums Part 1 - YouTube sharing.mov.
Integration 0 Introduction to Integration.
Integration 11 Lengths of Plane Curves Part 3.
Integration 11 Lengths of Plane Curves Part 1.
Integration 9 The Area Between Two Curves Part 3 Example 2.
Integration 9 The Area Between Two Curves Part 3 Example 1.
Integration 9 The Area Between Two Curves Part 2.
Integration 9 The Area Between Two Curves Part 1.
Integration 10 Numerical Integration Video 2.mov.
Integration 10 Numerical Integration Video 1 Part 2.mov.
Integration 10 Numerical Integration Video 1 Part 1.mov.
Integration 12_5_4 Trigonometric Integration.mov.
Integration 12_5_3 Trigonometric Integration.mov.
Integration 12 Trigonometric Integration Part 5 Example 2.mov.
Integration 12 Trigonometric Integration Part 5 Example 1.mov.
Integration 12 Trigonometric Integration Part 4.mov.
Integration 12 Trigonometric Integration Part 3.mov.
Integration 12 Trigonometric Integration Part 2 Example 4.mov.
Integration 12 Trigonometric Integration Part 2 Example 3.mov.
Integration 12 Trigonometric Integration Part 2 Example 2.mov.
Integration 12 Trigonometric Integration Part 2 Example 1.mov.
Integration 12 Trigonometric Integration Part 1.mov.
Integration 13_1 Integrating Polynomial Fractions.mov.
Integration 13_4 Integrating Polynomial Fractions.mov.
Integration 13_3 Integrating Polynomial Fractions.mov.
Integration 13_2 Integrating Polynomial Fractions.