# Textbook Homework

 Topic Homework 4.9 Antiderivatives P. 280: 1, 3, 5, 6, 8, 11, 13, 15, 19, 25–29, 36, 65, 66 5.2 The Definite Integral P. 307: 15, 43–45, 55–61 odd 5.3 The Fundamental Theorem of Calculus, Part I P. 314: 7, 9, 13, 17, 19, 21, 25, 26, 30, 33, 37, 38 5.4 The Fundamental Theorem of Calculus, Part II P. 320: 7, 8, 21–23, 29, 31 5.6 Substitution Method P. 333: 5, 7, 10, 13, 17, 19, 27, 29, 33, 55, 61, 79, 83, 87, 89 5.7 Further Transcendental Functions P. 339: 1, 5, 9, 11, 15, 19, 23, 26, 41, 45, 51, 58, 61, 62 7.1 Integration by Parts P. 403: 1–31 odd, 41, 45, 49, 51, 53, 68 7.2 Trigonometric Integrals P. 411: 1, 3, 5, 9, 11, 15–25 odd, 29, 33, 37, 41, 43, 47, 49, 53, 55, 57, 59, 60 7.3 Trigonometric Substitution P. 418: 3, 15, 17, 19, 21, 23, 27, 29, 31 7.3 Trigonometric Substitution (continued) P. 419: 35–41, 54–56 7.5 The Method of Partial Fractions P. 434: 9, 11, 13, 14, 15, 17, 19, 21, 23, 39, 41 7.5 The Method of Partial Fractions (continued) P. 434: 4, 5, 7, 10, 13, 16, 22, 28, 29, 35, 37, 41, 45, 47, 53–61 odd 7.6 Improper Integrals P. 444: 5, 7, 9, 13, 19, 21, 25, 33–39 odd, 47, 54, 55, 61, 63, 65, 68, 71 8.4 Taylor Polynomials P. 496: 1, 2, 3, 7, 19, 21, 23, 25 4.3 The Mean Value Theorem and Monotonicity P. 232: 1, 3, 5, 7 8.4 Taylor Polynomials P. 496: 33, 35, (optional: 42, 44, 45, 47) P. 546: 1, 3, 13, 35, 37, 39, 43, 50, 53, 63

 10.1 Sequences P. 496: 15–21 odd 10.2 Summing an Infinite Series P. 556: 1, 3, 4, 7, 11, 17, 18, 20, 23, 26, 29, 31, 33, 37, 41, (optional: 55) 10.3 Convergence of Series with Positive Terms P. 566: 1–4, 7–9 10.3 Convergence of Series with Positive Terms (continued) P. 566: 15, 16, 19, 20, 23, 24, 25, 31, 32, 35, 39, 41, 49, 51–55 odd, 59, 67, 71 10.4 Absolute and Conditional Convergence P. 574: 1–5, 7–9, 17, 19, 21–25, 31, 32, (optional: 35) 10.5 The Ratio and Root Tests P. 578: 1, 5, 7, 10, 11, 13, 17, 21, 23, 36–39, 43, 45, 49, 53, 55 10.6 Power Series P. 589: 1, 3, 5, 6, 9, 10, 13, 14, 19, 23, 25, 27, 29, 30 10.7 Taylor Series P. 600: 1, 3, 5, 6, 8, 10, 15, 29, 30, 32, 33, 35 5.1 Approximating and Computing Area (P. 286–292) 6.1 Areas Between Two Curves P. 297: 16 P. 361: 1, 3, 4, 5, 11, 27, 28, 31, 32, 39 6.2 Setting Up Integrals: Volume P. 372: 1–5 6.3 Volumes of Revolution P. 381: 1–11 odd, 15–23 odd, 31, 35, 39, 45 6.4 The Method of Cylindrical Shells P. 389: 1–11 odd, 15, 17, 21–27 odd 8.1 Arc Length and Surface Area P. 471: 3–9 odd, 23, 25, 33–39 odd