Definite integrals - Study guides, Study 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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- R481,36
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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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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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- R773,10
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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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Test Bank for Basic Technical Mathematics with Calculus, 12th edition by Allyn J. Washington
- Exam (elaborations) • 1308 pages • 2023
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- R528,49
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Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. 
 
Full Chapters test bank included - Answers are given at the end of every chapter. 
 
Basic Algebraic Operations 
1.1 Numbers 
1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 
1.4 Exponents and Unit Conversions 
1.5 Scientific Notation 
1.6 Roots and Radicals 
1.7 Addition and Subtraction of Algebraic Expressions 
1.8 Multiplication of Algebraic Expressi...
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Calc 1 for Engineering - Class Notes
- Class notes • 70 pages • 2023
- Available in package deal
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- R116,31
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70 pages of organized handwritten notes for calc 1. Topics include: 
- polynomials, exponential, logarithmic, trigonometric 
- operations on functions, curve sketching 
- trigonometric identities 
- inverse functions 
- derivatives, rules of differentiation 
- Mean Value Theorem 
- Newton's Method 
- indeterminate forms 
- L'Hopital's rule, applications 
- integrals, approximations 
- Riemann definite integral
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Spring 2008, Math 1242 Final Exam
- Exam (elaborations) • 11 pages • 2023
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- R316,84
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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 2006 Part I (MULTIPLE CHOICE, NO CALCULATORS).
- Exam (elaborations) • 17 pages • 2023
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- R322,04
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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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MATH 1242 FINAL EXAM SPRING 2007
- Exam (elaborations) • 14 pages • 2023
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- R311,11
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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
- Available in package deal
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- R146,77
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Highlights the properties of definite integrals and provides well-explained examples and diagrams
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CALCULUS FINAL EXAM fully solved & updated
- Exam (elaborations) • 17 pages • 2024
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- R143,19
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evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
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ALGEBRA INTEGRALS INTEGRATION NOTES 2025
- Exam (elaborations) • 2 pages • 2024
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- R125,27
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ALGEBRA INTEGRALS INTEGRATION NOTES 2025
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