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# Video Lectures

myOpenMath Introduction

Part 1

Section 1.1: Approximating Areas Under Curves (Part 1)

Section 1.1: Approximating Areas Under Curves (Part 2)

Section 1.2: The Definite Integral

Section 1.3: The Fundamental Theorem of Calculus

Section 1.4: The Net Change Theorem

Section 1.5: Integration by Substitution (Part 1)

Section 1.5: Integration by Substitution (Part 2)

Section 1.6: Integrals of Exponentials and Logs

Section 1.7: Integrals Resulting in Inverse Trig Functions

Part 2

Section 2.1: Areas Between Curves

Section 2.2: Volumes by Slicing & Volumes of Revolution (Part 1)

Section 2.2: Volumes by Slicing & Volumes of Revolution (Part 2)

Section 2.3: Volumes of Revolution: Cylindrical Shells (Part 1)

Section 2.3: Volumes of Revolution: Cylindrical Shells (Part 2)

Section 2.4:Arc Length and Surface Area

Section 2.5: Physics Applications (Part 1): Density

Section 2.5: Physics Applications (Part 2): Work

Section 2.9: Hyperbolic Functions

Part 3

Section 3.1: Integration by Parts (Part 1)

Section 3.1: Integration by Parts (Part 2)

Section 3.2: Trigonometric Integrals (Part 1)

Section 3.2: Trigonometric Integrals (Part 2)

Section 3.3: Trigonometric Substitution (Part 1)

Section 3.3: Trigonometric Substitution (Part 2)

Section 3.4: Partial Fractions (Part 1): Distinct Linear Factors

Section 3.4: Partial Fractions (Part 2): Repeated Linear Factors

Section 3.4: Partial Fractions (Part 3): Irreducible Quadratic Factors

Section 3.4: Partial Fractions: Bonus Example

Section 3.7: Improper Integrals (Part 1)

Section 3.7: Improper Integrals (Part 2)

Section 3.7: Improper Integrals (Part 3)

Section 3.6: Numerical Integration (Part 1)

Section 3.6: Numerical Integration (Part 2)

Section 3.6 (Part 2): CORRECTION TO VIDEO AT 14:12

Section 3.6: Numerical Integration (Part 3)

Section 3.6 (Part 3): CORRECTION TO VIDEO AT 26:35