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CEGEP Champlain
ST. LAWRENCE
Math 201-NYB-05
Integral Calculus


Martin Huard

Revised on February January 22, 2008


Supplementary Exercises in Textbook

Single Variable Essential Calculus: Early Transcendentals by James Stewart, Brook/Cole (2007).

 
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).