MAT21B videos created by AATC Math Specialists

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Chapter 4

4.8 - Antiderivatives

Chapter 5

5.1 - Estimating area with rectangles

5.2 - Sigma Notation and Riemann Sums

5.3 - Properties of Definite Integrals

5.4 - Fundamental Theorem of Calculus (FTC)

5.5 - Integrals as a function - Indefinite Integrals, and U-substitution

5.6 - Area Between Curves

Chapter 6 - Applications of Definite Integrals

6.1 - Volumes of cross-sections and disc method

6.2 - Volumes with Shell Method

6.3 - Arc Length

6.4 - Surface Area of Revolution

6.5 - Work and Fluid Force

6.6 - Moments and Centers of Mass

Chapter 7 - Transcendentals

7.1 - Logarithms as integrals

7.2 - Exponential Change, Separation of Variables, Newton's Law of Cooling

Chapter 8 - Methods of Integration

8.1 - Integration By Parts (IBP)

8.2 - Integrals of Trig Functions

8.3 - Trig Substitution

8.4 - Long Division and Partial Fractions

8.7 - Trapezoid and Simpson's Rule

8.8 - Improper Integrals

Chapter 11 - Parametric Equations and Polar Coordinates

11.1 - Parametric Equations

11.2 - motion with parametric equations (velocity and acceleration)

11.3 - Polar coordinates

11.4 - Graphing Polar Equations