Section 1.1: Approximating Areas Under Curves
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
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
Section 2.3: Volumes of Revolution: Cylindrical Shells
Section 2.4:Arc Length and Surface Area
Section 2.5: Physics Applications: Density & Work
Section 2.9: Hyperbolic Functions
Part 3
Section 3.1: Integration by Parts
Section 3.2: Trigonometric Integrals
Section 3.3: Trigonometric Substitution
Section 3.4: Integration by Partial Fractions
Section 3.7: Improper Integrals
Section 3.6: Numerical Integration