**Part 1**

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