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7. Integrals

Part 2 Lesson

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Section outline

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  Integration as an Inverse Process of Differentiation
  
  Select activity Antiderivatives and Indefinite Integrals
  
  
  
  Antiderivatives and Indefinite Integrals Lesson
  
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  Select activity Indefinite Integrals of sin(x), cos(x), and eˣ
  
  
  
  Indefinite Integrals of sin(x), cos(x), and eˣ Lesson
  
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  Select activity Example: Finding Integral
  
  
  
  Example: Finding Integral Lesson
  
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  Select activity Indefinite Integral of 1/x
  
  
  
  Indefinite Integral of 1/x Lesson
  
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  Methods of Integration
  
  Select activity Integration by Substitution- Introduction I
  
  
  
  Integration by Substitution- Introduction I Lesson
  
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  Select activity Integration by Substitution- Introduction II
  
  
  
  Integration by Substitution- Introduction II Lesson
  
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  Select activity Example 1 : Integration by Substitution
  
  
  
  Example 1 : Integration by Substitution Lesson
  
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  Select activity Example 2 : Integration by Substitution
  
  
  
  Example 2 : Integration by Substitution Lesson
  
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  Select activity Example 3 : Integration by Substitution
  
  
  
  Example 3 : Integration by Substitution Lesson
  
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  Select activity Example 4 : Integration by Substitution
  
  
  
  Example 4 : Integration by Substitution Lesson
  
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  Select activity Example 5 : Integration by Substitution
  
  
  
  Example 5 : Integration by Substitution Lesson
  
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  Integrals of Some Particular Functions
  
  Select activity Part 1
  
  Part 1 Lesson
  
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  Select activity Part 2
  
  Part 2 Lesson
  
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  Integration by Partial Fractions
  
  Select activity Example : Integration by Partial Fractions
  
  Example : Integration by Partial Fractions Lesson
  
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  Integration by Parts
  
  Select activity Introduction
  
  
  
  Introduction Lesson
  
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  Select activity Part 1
  
  
  
  Part 1 Lesson
  
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  Select activity Part 2
  
  
  
  Part 2 Lesson
  
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  Select activity Part 3
  
  
  
  Part 3 Lesson
  
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  Select activity Example 1 : Integration by Parts
  
  
  
  Example 1 : Integration by Parts Lesson
  
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  Select activity Example 2 : Integration by Parts
  
  
  
  Example 2 : Integration by Parts Lesson
  
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  Select activity Example 3 : Integration by Parts
  
  
  
  Example 3 : Integration by Parts Lesson
  
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  Select activity Example 4 : Integration by Parts
  
  
  
  Example 4 : Integration by Parts Lesson
  
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  Fundamental Theorem of Calculus
  
  Select activity Introduction
  
  
  
  Introduction Lesson
  
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  Select activity Fundamental Theorem of Calculus (Part 1)
  
  
  
  Fundamental Theorem of Calculus (Part 1) Lesson
  
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  Select activity Fundamental Theorem of Calculus (Part 2)
  
  
  
  Fundamental Theorem of Calculus (Part 2) Lesson
  
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  Select activity Intuition for Second Part of Fundamental Theorem of Calculus
  
  
  
  Intuition for Second Part of Fundamental Theorem of Calculus Lesson
  
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  Select activity Worked Example: Finding Derivative with Fundamental Theorem of Calculus
  
  
  
  Worked Example: Finding Derivative with Fundamental Theorem of Calculus Lesson
  
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  Select activity Finding Derivative with Fundamental Theorem of Calculus: x is on Lower Bound
  
  
  
  Finding Derivative with Fundamental Theorem of Calculus: x is on Lower Bound Lesson
  
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  Select activity Finding Derivative with Fundamental Theorem of Calculus: x is on Both Bounds
  
  
  
  Finding Derivative with Fundamental Theorem of Calculus: x is on Both Bounds Lesson
  
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  Evaluation of Definite Integrals by Substitution
  
  Select activity Substitution: Definite Integrals
  
  Substitution: Definite Integrals Lesson
  
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  Select activity Substitution: Definite Integral of Exponential Function
  
  Substitution: Definite Integral of Exponential Function Lesson
  
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  Some Properties of Definite Integrals
  
  Select activity Part 1
  
  
  
  Part 1 Lesson
  
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  Select activity Part 2
  
  
  
  Part 2 Lesson
  
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  Select activity Definite Integral of Rational Function
  
  
  
  Definite Integral of Rational Function Lesson
  
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  Select activity Definite Integral of Radical Function
  
  
  
  Definite Integral of Radical Function Lesson
  
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  Select activity Definite Integral Involving Natural Log
  
  
  
  Definite Integral Involving Natural Log Lesson
  
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  Select activity Definite Integral of Absolute Value Function
  
  
  
  Definite Integral of Absolute Value Function Lesson
  
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  Select activity Definite Integral of Trigonometric Function
  
  
  
  Definite Integral of Trigonometric Function Lesson
  
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  Select activity Example 1 : Solve Definite Integral using Properties
  
  
  
  Example 1 : Solve Definite Integral using Properties Lesson
  
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  Select activity Example 2 : Solve Definite Integral using Properties
  
  
  
  Example 2 : Solve Definite Integral using Properties Lesson
  
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