| Section 5.1 How do we measure distance traveled? |
| Section 5.2 The definite integral |
| Section 5.3 The Fundamental Theorem and interpretations |
| Section 5.4 Theorems about definite integrals |
| Section 6.2 Constructing antiderivatives analytically |
| Section 6.4 The second Fundamental Theorem of Calculus |
| Section 7.1 Integration by substitution | |
| Section 7.2 Integration by parts | |
| Section 7.3 Tables of integrals | |
| Section 7.4 Algebraic identities and trigonometric substitutions | |
| Section 7.5 Approximating definite integrals | |
| Section 7.7 Improper integrals |
| Section 8.1 Areas and volumes | |
| Section 8.2 Applications to geometry | |
| Section 8.3 Area and arc length in polar coordinates | |
| Section 8.4 Density and centers of mass | |
| Section 8.5 Applications to physics |
| Section 9.1 Sequences |
| Section 9.2 Geometric series |
| Section 9.3 Convergence of series |
| Section 9.4 Tests for convergence |
| Section 9.5 Power series and intervals of convergence |
| Section 10.1 Taylor polynomials |
| Section 10.3 Finding and using Taylor series |
| Section 11.2 Slope fields | |
| Section 11.3 Euler's method | |
| Section 11.4 Separation of variables | |
| Section 11.5 Growth and decay |