Explore the fundamental concepts of calculus in this comprehensive 3.5-hour tutorial on integration. Begin with a review of derivatives and the Mean Value Theorem before delving into antiderivatives. Learn techniques for summing series involving k, k^2, and k^3. Discover the concept of area under a curve and its relationship to the definite integral. Master the Fundamental Theorem of Calculus and its applications. Conclude by practicing integral evaluation techniques, including u-substitution, to solve a variety of integration problems.
Overview
Syllabus
1: Derivatives and Mean Value Theorem.
2: Antiderivatives.
3: Summing k, k^2, and k^3.
4: Area Under Curve.
5: Definite Integral.
6: Fundamental Theorem of Calculus.
7: Evaluating Integrals & u-Substitution.
Taught by
math at andrews
