Trigonometric integration Study guides, Class notes & Summaries
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![OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)](/docpics/5238676/663c329d92923_5238676_121_171.jpeg)
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OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 63 pages • 2024
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2 
© OCR 2023 H240/02 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
L P 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh, 
n 
J 
n 
N n! 
where Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^x 1 1,n e Rh 
Differentiatio...
![Test Bank for Finite Math and Applied Calculus, 8th Edition Waner (All Chapters included)](/docpics/4741859/65f3674fd864e_4741859_121_171.jpeg)
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Test Bank for Finite Math and Applied Calculus, 8th Edition Waner (All Chapters included)
- Exam (elaborations) • 1166 pages • 2024 Popular
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Complete Test Bank for Finite Math and Applied Calculus, 8th Edition by Stefan Waner, Steven Costenoble ; ISBN13: 9780357723630. (Full Chapters included Chapter 1 to 16)....0. PRECALCULUS REVIEW. 
1. FUNCTIONS AND APPLICATIONS. 
2. NONLINEAR FUNCTIONS AND MODELS. 
3. THE MATHEMATICS OF FINANCE. 
4. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. 
5. MATRIX ALGEBRA AND APPLICATIONS. 
6. LINEAR PROGRAMMING. 
7. SETS AND COUNTING. 
8. PROBABILITY. 
9. RANDOM VARIABLES AND STATISTICS. 
10. INTRODUCTION TO...
![Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide](/docpics/63c2df1d76a22_2257983.jpg)
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Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide 
 
1: Functions and Limits 
 
2: Derivatives 
 
3: Applications of Differentiation 
 
4: Integrals 
 
5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions 
 
6: Techniques of Integration 
 
7: Applications of Integration 
 
8: Series 
 
9: Parametric Equations and Polar Coordinates 
 
10: Vectors and the Geometry of Space 
 
11: Partial Derivatives 
 
12: Multiple Integrals 
 ...
![OCR 2023 GCE MATHEMATICS A H240/03: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)](/docpics/5238683/663c32dc350f7_5238683_121_171.jpeg)
-
OCR 2023 GCE MATHEMATICS A H240/03: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 75 pages • 2024
- Available in package deal
-
- $8.49
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2 
© OCR 2023 H240/03 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh, 
where 
nC = C = c 
n 
m = 
n! 
r n r r r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^x 1 1, n e Rh 
Differentiation 
f x fl x...
![Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide](/docpics/63c54cb240840_2262688.jpg)
-
Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
-
- $30.49
- 1x sold
- + learn more
Test Bank for Essential Calculus 2nd Edition By James Stewart Chapter 1-13 Complete Guide 
 
1: Functions and Limits 
 
2: Derivatives 
 
3: Applications of Differentiation 
 
4: Integrals 
 
5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions 
 
6: Techniques of Integration 
 
7: Applications of Integration 
 
8: Series 
 
9: Parametric Equations and Polar Coordinates 
 
10: Vectors and the Geometry of Space 
 
11: Partial Derivatives 
 
12: Multiple Integrals 
 ...
![Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide](/docpics/63c79cc1e516f_2269802.jpg)
-
Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
-
- $29.94
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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 ...
![Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide](/docpics/63c8104339301_2271637.jpg)
-
Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
-
- $17.84
- 1x sold
- + learn more
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 ...
![Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK](/docpics/5077583/6626ba91c5b1f_5077583_121_171.jpeg)
-
Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK
- Exam (elaborations) • 1167 pages • 2024
-
- $33.07
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TEST BANK for Finite Mathematics and Applied Calculus 8th Edition by Stefan Waner; Steven Costenoble. 
 
TABLE OF CONTENTS 
 
CHAPTER 1: Functions and Applications 
 
CHAPTER 2: Nonlinear Functions and Models 
 
CHAPTER 3: Mathematics of Finance 
 
CHAPTER 4: Systems of Linear Equations and Matrices 
 
CHAPTER 5: Matrix Algebra 
 
CHAPTER 6: Linear Programming 
 
CHAPTER 7: Sets and Counting 
 
CHAPTER 8: Probability 
 
CHAPTER 9: Random Variables and Statistics 
 
CHAPTER 10: Introduction to th...
![Test Bank for Applied Calculus, 8th Edition Waner (All Chapters included)](/docpics/5252488/663dd40897da0_5252488_121_171.jpeg)
-
Test Bank for Applied Calculus, 8th Edition Waner (All Chapters included)
- Exam (elaborations) • 570 pages • 2024
-
- $39.49
- + learn more
Complete Test Bank for Applied Calculus, 8th Edition by Stefan Waner, Steven Costenoble ; ISBN13: 9780357723487. (Full Chapters included Chapter 1 to 9)....0. PRECALCULUS REVIEW. 
1. FUNCTIONS AND APPLICATIONS. 
2. NONLINEAR FUNCTIONS AND MODELS. 
3. INTRODUCTION TO THE DERIVATIVE. 
4. TECHNIQUES OF DIFFERENTIATION. 
5. APPLICATIONS OF THE DERIVATIVE. 
6. THE INTEGRAL. 
7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. 
8. FUNCTIONS OF SEVERAL VARIABLES. 
9. TRIGONOMETRIC MODEL...
![Solutions for Applied Calculus, 8th Edition Waner (All Chapters included)](/docpics/5252461/663dd353dd645_5252461_121_171.jpeg)
-
Solutions for Applied Calculus, 8th Edition Waner (All Chapters included)
- Exam (elaborations) • 700 pages • 2024
-
- $39.49
- + learn more
Complete Solutions Manual for Applied Calculus, 8th Edition by Stefan Waner, Steven Costenoble ; ISBN13: 9780357723487. (Full Chapters included Chapter 1 to 9)....0. PRECALCULUS REVIEW. 
1. FUNCTIONS AND APPLICATIONS. 
2. NONLINEAR FUNCTIONS AND MODELS. 
3. INTRODUCTION TO THE DERIVATIVE. 
4. TECHNIQUES OF DIFFERENTIATION. 
5. APPLICATIONS OF THE DERIVATIVE. 
6. THE INTEGRAL. 
7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. 
8. FUNCTIONS OF SEVERAL VARIABLES. 
9. TRIGONOMETRI...
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