![]() CEGEP Champlain ST. LAWRENCE |
Math
201-NYB-05 Integral Calculus Martin Huard |
Revised on February January 22, 2008 |
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Supplementary Exercises in Textbook Single Variable Essential Calculus: Early Transcendentals by James Stewart, Brook/Cole (2007). |
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| I - Antiderivatives | 4.7 - pg 246: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49 |
| II - Sigma Notation and Areas |
Appencix C - pg A27: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49 5.1 - pg 260: 1, 3, 5, 11, 13, 15 |
| III - The Definite Integral | 5.2 - pg 272: 1, 3, 5, 9, 11, 17, 19, 21, 23, 25, 29, 33, 35, 37, 39, 41, 43, 47, 49, 51 |
| IV - The Fundamental Theorem of Calculus |
5.3 - pg 282: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25,
27, 29, 35, 37, 41, 47, 49, 51, 53, 55, 57, 59, 61, 63 5.4 - pg 291: 1, 3, 5, 7, 9, 11, 13, 17, 19, 23, 25, 27, 31 |
| V - Substitution | 5.5 - pg 298: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65 |
| VI - Integration by Parts | 6.1 - pg 309: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43 |
| VII - Trigonometric Integrals | 6.2 - pg 319: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 63 |
| VIII - Trigonometric Substitution | 6.2 - pg 319: 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 59, 61, 65 |
| IX - Partial Fractions | 6.3 - pg 327: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 41, 43, |
| X - Rationalizing Substitutions | 6.3 - pg 327: 35, 37, 39 |
| XI - Improper Integrals | 6.6 - pg 352: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61 |
| XII - Areas Between Curves | 7.1 - pg 352: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 33, 35, 37 |
| XIII - Volumes of Solids of Revolution |
7.2 - pg 371: 1, 3, 5, 7, 9, 11, 13, 15, 21, 23 7.3 - pg 76: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 37, 39, 41, 43 |
| XIV - Volumes by the Slicing Method | 7.2 - pg 371: 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47 |
| XV - Arc Length | 7.4 - pg 383: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 31 |
| XVI - Surface Area | |
| XVII - Differential Equations | 7.6 - pg 397: 1, 3, 5, 7, 9, 11, 13, 15, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49 |
| XVIII - Sequences | 8.1 - pg 418: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41 |
| XIX - Series | 8.2 - pg 427: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47 |
| XX - The Integral and Comparison Tests | 8.3 - pg 436: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39 |
| XXI - Alternating Series | 8.4 - pg 397: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41 |
| XXII - Power Series |
8.5- pg 451: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25,
27, 29 8.6- pg 456: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 |
| XXIII - Taylor and MacLaurin Series | 8.7 - pg 469: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 39, 41, 43, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69 |
| For exercises in Single Variable Calculus (5th edition): Early Transcendentals by James Stewart, Brook/Cole (2003). | |