Calculus

The Basics of Integration Video Review Lessons

Antiderivatives
• Antidifferentiation
• Antiderivatives of Powers of x
• Antiderivatives of Trigonometric and Exponential Functions
Integration by Substitution
• Undoing the Chain Rule
• Integrating Polynomials by Substitution
Illustrating Integration by Substitution
• Integrating Composite Trigonometric Functions by Substitution
• Integrating Composite Exponential and Rational Functions by Substitution
• More Integrating Trigonometric Functions by Substitution
• Choosing Effective Function Decompositions
The Fundamental Theorem of Calculus
• Approximating Areas of Plane Regions
• Areas, Riemann Sums, and Definite Integrals
• The Fundamental Theorem of Calculus, Part I
• The Fundamental Theorem of Calculus, Part II
• Illustrating the Fundamental Theorem of Calculus
• Evaluating Definite Integrals