Definite integrals - Study guides, Study notes & Summaries
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MATH 1242 FINAL EXAM
- Exam (elaborations) • 1 pages • 2023
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- R273,65
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MATH 1242 
FINAL EXAM 
Spring, 2010 
3 
7. Which of the following definite integrals gives the length of the curve y = cos(x) for 
0 ≤ x ≤ π? 
Rπ√ 
(a) 0 1 − cos2 x dx 
Rπ√ 
(b) 0 1 + cos2 x dx 
Rπp 
(c) 0 1 − sin2 x dx 
Rπ√ 
(d) 0 1 + sin2 x dx 
Rπ√ 
(e) 0 1 + sin x dx 
Rx 2 
8. If f (x) = 0 et +1 dt, then f 0 (x) = 
(a) e2x 
(b) ex 
2 
(c) ex +1 
2 
(d) 2xex +1 
(e) 2e2x 
9. The average value of f (x) = 
1 
on [1, 5] is 
2x + 1 
1 
(ln 11 − ln 3) 
8 
1 
(b) (ln 11 − l...
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Definite integrals Mathematics notes
- Class notes • 163 pages • 2024
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- R143,19
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Definite integrals notes for IIT-JEE aspirants.
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MAT1512 Assignment 9 2021 (Oct/Nov 2020 exam)
- Other • 24 pages • 2021
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- R150,00
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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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CALCULUS AND ITS APPLICATIONS 10TH EDITION BY Marvin L.Bittinger Indiana University Purdue University Indianapolis, David J.Ellenbogen Community College of Vermont and Scott A.Surgent Arizona State University
- Other • 729 pages • 2022
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- R358,42
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Contents 
Preface vii 
Prerequisite Skills 
Diagnostic Test xix 
CHAPTER R 
Functions, Graphs, and Models 1 
R.1 Graphs and Equations 2 
R.2 Functions and Models 13 
R.3 Finding Domain and Range 24 
R.4 Slope and Linear Functions 33 
R.5 Nonlinear Functions and Models 50 
R.6 Mathematical Modeling and Curve Fitting 68 
Chapter Summary 79 
Chapter Review Exercises 85 
Chapter Test 88 
Extended Technology Application 
Average Price of a Movie Ticket 90 
CHAPTER 1 
Differentiation 93 
1.1 Limits: A...
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Exam (elaborations) WTW 158: Calculus (WTW158)
- Exam (elaborations) • 5 pages • 2022
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- R195,00
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This document includes questions and step-by-step procedures on how to tackle differential equation questions. It will help you see a much easier method to use when dealing with such questions.
As you read this, a fellow student has made another R85
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Mathematics for Business B: Summary + Notes + Exercises (Bridging MBA - KUL Brussels)
- Class notes • 124 pages • 2021
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- R97,69
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ENGLISH SUMMARY FOR BRIDGING PROGRAM MBA at KUL 
Prof.: Verhaest Dieter 
Textbook: Essential Mathematics for Economic Analysis (5th edition), Pearson, 2017 (4610); 
 
This document contains a summary of the course content + own class notes + exercises with solutions. 
 
Course content: 
1. Definite and indefinite integrals of a function of one real variable 
(antiderivative and indefinite integral+ integration methods+ definite integral and area) 
__ 
2. Differential equations of the f...
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Indefinite Integrals
- Summary • 8 pages • 2024
- Available in package deal
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- R186,20
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Handwritten cheat sheet for Indefinite Integrals by JEE 2020, GATE, CSIR topper.
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Definite Integrals
- Summary • 4 pages • 2024
- Available in package deal
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- R186,20
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Handwritten cheat sheet for Definite Integrals by JEE 2020, GATE, and CSIR topper
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Summary - Indefinite integrals
- Summary • 9 pages • 2024
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- R53,58
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Summarised Approach to solving most highschool indefinite integrals
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MATHEMATICS 1B FINAL EXAM PRACTICE PROBLEMS
- Exam (elaborations) • 21 pages • 2022
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- R179,03
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MATHEMATICS 1B 
FINAL EXAM PRACTICE PROBLEMS 
 
DISCLAIMER: The practice problems below are not intended to be a complete review of the material covered this quarter. They are intended only to give you practice in applying SOME of the concepts you learned. For a complete review (strongly recommended), you should review old exams/quizzes/HW and try new problems from each section covered in class. You are also encouraged to review lecture handouts (e.g., Survival Guide material). Finally, some pr...
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