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7. Integrals

Section outline

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  Introduction
  
  Select activity Revision
  
  Revision Lesson
  
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  Select activity Introduction to Integration
  
  Introduction to Integration Lesson
  
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  Integration as an Inverse Process of Differentiation
  
  Select activity Nomenclature to Integration
  
  
  
  Nomenclature to Integration Lesson
  
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  Select activity Constant of Integration
  
  
  
  Constant of Integration Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Geometrical Meaning of Constant of Integration
  
  
  
  Geometrical Meaning of Constant of Integration Lesson
  
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  Select activity Integration of Some Standard Functions
  
  
  
  Integration of Some Standard Functions Lesson
  
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  Select activity Properties of Integration
  
  
  
  Properties of Integration Lesson
  
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  Select activity PSV 1 Integration as an Anti derivative
  
  
  
  PSV 1 Integration as an Anti derivative Lesson
  
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  Select activity PSV 2 Integration as an Anti derivative
  
  
  
  PSV 2 Integration as an Anti derivative Lesson
  
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  Select activity PSV 3 Integration as an Anti derivative
  
  
  
  PSV 3 Integration as an Anti derivative Lesson
  
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  Select activity Special Case of Integration
  
  
  
  Special Case of Integration Lesson
  
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  Select activity PSV 4 Integration as an Anti derivative
  
  
  
  PSV 4 Integration as an Anti derivative Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Methods of Integration
  
  Select activity Integration by Substitution
  
  
  
  Integration by Substitution Lesson
  
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  Select activity How to choose f(x) and f'(x)
  
  
  
  How to choose f(x) and f'(x) Lesson
  
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  Select activity PSV1 Substitution Method
  
  
  
  PSV1 Substitution Method Lesson
  
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  Select activity PSV2 Substitution Method
  
  
  
  PSV2 Substitution Method Lesson
  
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  Select activity PSV3 Substitution Method
  
  
  
  PSV3 Substitution Method Lesson
  
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  Select activity PSV4 Substitution Method
  
  
  
  PSV4 Substitution Method Lesson
  
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  Select activity Concept Test + Reference Questions
  
  
  
  Concept Test + Reference Questions Lesson
  
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  Select activity Revision How to use Trigonometric identity
  
  
  
  Revision How to use Trigonometric identity Lesson
  
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  Select activity When do we use Trigonometric Ratio
  
  
  
  When do we use Trigonometric Ratio Lesson
  
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  Select activity Integration using Trigonometric identity
  
  
  
  Integration using Trigonometric identity Lesson
  
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  Select activity PSV 1 Integration using Trigonometric Identity
  
  
  
  PSV 1 Integration using Trigonometric Identity Lesson
  
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  Select activity PSV 2 Integration using Trigonometric Identity
  
  
  
  PSV 2 Integration using Trigonometric Identity Lesson
  
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  Select activity PSV 3 Integration using Trigonometric Identity
  
  
  
  PSV 3 Integration using Trigonometric Identity Lesson
  
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  Select activity PSV 4 Integration using Trigonometric Identity
  
  
  
  PSV 4 Integration using Trigonometric Identity Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity How to use Trigonometric Ratio
  
  
  
  How to use Trigonometric Ratio Lesson
  
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  Integrals of Some Particular Functions
  
  Select activity Integral of Particular Functions - I
  
  
  
  Integral of Particular Functions - I Lesson
  
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  Select activity Integral of Particular Functions - II
  
  
  
  Integral of Particular Functions - II Lesson
  
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  Select activity PSV 1 Integral of Particular Functions
  
  
  
  PSV 1 Integral of Particular Functions Lesson
  
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  Select activity PSV 2 Integral of Particular Functions
  
  
  
  PSV 2 Integral of Particular Functions Lesson
  
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  Select activity Integral of Particular Functions - III
  
  
  
  Integral of Particular Functions - III Lesson
  
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  Select activity Integral of Particular functions - IV
  
  
  
  Integral of Particular functions - IV Lesson
  
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  Select activity PSV 3 Integral of Particular Functions
  
  
  
  PSV 3 Integral of Particular Functions Lesson
  
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  Select activity PSV 4 Integral of Particular Functions
  
  
  
  PSV 4 Integral of Particular Functions Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Integral of Particular Functions - V
  
  
  
  Integral of Particular Functions - V Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Integration by Partial Fractions
  
  Select activity Proper and Improper Fractions
  
  
  
  Proper and Improper Fractions Lesson
  
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  Select activity Partial Fraction Method for Proper Fractions
  
  
  
  Partial Fraction Method for Proper Fractions Lesson
  
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  Select activity PSV1 Partial Fraction Method
  
  
  
  PSV1 Partial Fraction Method Lesson
  
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  Select activity PSV2 Partial Fraction Method
  
  
  
  PSV2 Partial Fraction Method Lesson
  
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  Select activity PSV3 Partial Fraction Method
  
  
  
  PSV3 Partial Fraction Method Lesson
  
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  Select activity When Power of Factors is More than One
  
  
  
  When Power of Factors is More than One Lesson
  
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  Select activity PSV 4 When Power of Factor is more than one
  
  
  
  PSV 4 When Power of Factor is more than one Lesson
  
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  Select activity Concept test 1
  
  
  
  Concept test 1 Lesson
  
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  Select activity Partial Fraction Method for Improper Fractions
  
  
  
  Partial Fraction Method for Improper Fractions Lesson
  
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  Select activity When Dinominator can't be factorised Further
  
  
  
  When Dinominator can't be factorised Further Lesson
  
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  Select activity PSV5 Partial Fraction Method for Improper Fractions
  
  
  
  PSV5 Partial Fraction Method for Improper Fractions Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Integration by Parts
  
  Select activity What is Integration by Parts
  
  
  
  What is Integration by Parts Lesson
  
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  Select activity PSV1 What is Integration by Parts 1
  
  
  
  PSV1 What is Integration by Parts 1 Lesson
  
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  Select activity How to Choose U and V Functions
  
  
  
  How to Choose U and V Functions Lesson
  
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  Select activity PSV2 How to Choose U and V Functions
  
  
  
  PSV2 How to Choose U and V Functions Lesson
  
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  Select activity PSV3 How to Choose U and V Functions
  
  
  
  PSV3 How to Choose U and V Functions Lesson
  
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  Select activity Special Cases 1
  
  
  
  Special Cases 1 Lesson
  
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  Select activity PSV4 Special Cases 1
  
  
  
  PSV4 Special Cases 1 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Special Cases 2
  
  
  
  Special Cases 2 Lesson
  
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  Select activity PSV05 Special Cases 2
  
  
  
  PSV05 Special Cases 2 Lesson
  
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  Definite Integral
  
  Select activity Definite Integration Introduction
  
  Definite Integration Introduction Lesson
  
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  Select activity Definite Integration as the Limit of a Sum
  
  Definite Integration as the Limit of a Sum Lesson
  
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  Fundamental Theorem of Calculus
  
  Select activity Definite Integration as Area Function
  
  
  
  Definite Integration as Area Function Lesson
  
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  Select activity PSV1 Definite Integration as Area Function
  
  
  
  PSV1 Definite Integration as Area Function Lesson
  
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  Select activity PSV2 Definite Integration as Area Function
  
  
  
  PSV2 Definite Integration as Area Function Lesson
  
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  Evaluation of Definite Integrals by Substitution
  
  Select activity Finding Definite Integration Using Substitution of Limits
  
  Finding Definite Integration Using Substitution of Limits Lesson
  
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  Select activity Concept Test
  
  Concept Test Lesson
  
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  Some Properties of Definite Integrals
  
  Select activity Properties of Definite Integration Part 1
  
  
  
  Properties of Definite Integration Part 1 Lesson
  
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  Select activity Properties of Definite Integration Part - 2
  
  
  
  Properties of Definite Integration Part - 2 Lesson
  
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  Select activity PSV1 Properties of Definite Integration Part - 2
  
  
  
  PSV1 Properties of Definite Integration Part - 2 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Properties of Definite Integration Part - 3
  
  
  
  Properties of Definite Integration Part - 3 Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Definite Integration for Even and Odd Functions
  
  
  
  Definite Integration for Even and Odd Functions Lesson
  
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  Select activity PSV2 Definite Integration for Even and Odd Functions
  
  
  
  PSV2 Definite Integration for Even and Odd Functions Lesson
  
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  Select activity Concept Test 3
  
  
  
  Concept Test 3 Lesson
  
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