Definite integrals Study guides, Class notes & Summaries
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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- $17.84
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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Kami Export - Britney Le - Circuit Training definite integrals Silver Creek High School MATH 343
- Exam (elaborations) • 2 pages • 2023
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Kami Export - Britney Le - Circuit Training definite integrals Silver Creek High School MATH 343
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Mathematics 114 summaries
- Summary • 80 pages • 2022
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Aesthetic digital concise summaries of all the theory and some examples you need to know for mathematics 114. 
The whole semester's content for mathematics 114 is summarised. 
Self-study: Revision of coordinate geometry & straight lines 
These are topics that you should be familiar with from school. Some students forget some of this material by the time they start their first year, and therefore need to revise them. These topics are all required for Calculus topics later on. 
 
Week 1: Numbers,...
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Calculus: Single and Multivariable, 7th Edition by Deborah Hughes-Hallett, William G. McCallum, and Andrew M. Gleason, et al. All Chapters 1-21. (Complete Download). TEST BANK.
- Exam (elaborations) • 539 pages • 2023
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Calculus: Single and Multivariable, 7th Edition by Deborah Hughes-Hallett, William G. McCallum, and Andrew M. Gleason, et al. All Chapters 1-21. (Complete Download). TEST BANK. 
 
Calculus: Single and Multivariable, 7th Edition by Deborah Hughes-Hallett, William G. McCallum, and Andrew M. Gleason, et al. All Chapters 1-21. (Complete Download). TEST BANK. TABLE OF CONTENTS C hapter 1: A Library of Functions Chapter 2: Key Concept: The Derivative Chapter 3: Short-Cuts to Differentiation Chapter 4:...
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MAT1512 Assignment 9 2021 (Oct/Nov 2020 exam)
- Other • 24 pages • 2021
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UNISA MAT1512 Calculus A Assignment NINE of 2021 solutions. October November 2020 past paper. 
Where possible, alternative methods are used. 
Topics covered: 
Limits at a finite point. 
Limits at plus/minus. 
Limits from the left/right hand side. 
Continuity. 
Curve sketching. 
Integrals. 
Integration. 
Simplify then integrate. 
u-substitution. 
Definite/indefinite integrals. 
Area in between curve. 
Initial value Ordinary differential equations. 
Differentiation. 
Derivatives. 
Derivative from ...
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Spring 2008, Math 1242 Final Exam
- Exam (elaborations) • 11 pages • 2023
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Spring 2008, Math 1242 Final Exam 
Part I (MULTIPLE CHOICE, NO CALCULATOR PERMITTED) 
1. Compute 
 
3x3 + x22 − 4 cos x dx. 
R 
2 
(A) 21 3x3 + x22 − 4 cos x + C 
(B) 9x2 + 2 ln x2 − 4 sin x + C 
(C) 43 x4 − x2 − 4 sin x + C 
(D) 34 x4 − x2 + 4 sin x + C 
(E) 43 x4 − x2 − 2 cos2 x + C 
2. Compute 
R2 
x 
0 xe dx. 
(A) 2e4 
(B) e2 + 1 
(C) 12 e4 − 21 
(D) 12 e4 
(E) 21 e2 − 12 
13. Which of the following definite integrals gives the length of the curve y = tan x 
over the in...
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MATH 1242 FINAL EXAM SPRING 2007
- Exam (elaborations) • 14 pages • 2023
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MATH 1242 
FINAL EXAM 
SPRING 2007 
PART I (Calculators Not Allowed) 
1. Calculate 
Z 
3 
sin x + 2x + 
x 
 
dx. 
(a) − cos x + x + ln | x| + C 
(b) − cos x + x2 + 3 ln | x| + C 
x3 3 
+ +C 
3 
x 
2 
(d) − sin x + x + 3 ln | x| + C 
3 
(e) sin x + 2 − 2 + C 
x 
Z π 
x cos(x2 ) dx. 
2. Calculate the definite integral 
(c) − cos x + 
0 
(a) 2(sin π)2 
sin(π 3 ) 
3 
cos(π 2 ) 
(c) 
2 
sin(π 2 ) 
(d) 
2 
(e) sin(π 2 ) 
(b) 
3. Which of the following definite integrals gives the le...
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Properties of Definite Integrals | Calculus II Notes
- Summary • 4 pages • 2023
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Highlights the properties of definite integrals and provides well-explained examples and diagrams
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MATH 1242 FINAL EXAM Spring 2006 Part I (MULTIPLE CHOICE, NO CALCULATORS).
- Exam (elaborations) • 17 pages • 2023
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MATH 1242 
FINAL EXAM 
Spring 2006 
Part I (MULTIPLE CHOICE, NO CALCULATORS). 
1. Compute 
R 
 
 
3 
2x + − 4 sin x dx. 
x 
2 
2 
3 
2x + − 4 sin x + C 
x 
3 
(b) 4x − 2 − 4 cos x + C 
x 
2 
(c) x3 + 3 ln |x| − 4 cos x + C 
3 
2 3 
(d) x + 3 ln |x| + 4 cos x + C 
3 
2 
(e) x3 + 3 ln |x| − 2 sin2 x + C 
3 
1 
(a) 
2 
 
2. Compute 
2 
R1 
−1 
2 
xex dx. 
(a) 2 
(b) 2e 
(c) e 
1 1 1 1 
(d) e 3 − e− 3 
2 
2 
(e) 0 
3. Which of the following definite integrals gives the length o...
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