Integration

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Chapter 6: Integration (75 videos)   (Practice Test)
6.1: Introduction  (Practice Test)
  1. Antidifferentiation and Indefinite Integral
  2. Differentials of Variables
  3. Integral Language and Notation
  4. Difference between Delta y and dy
  5. Problem1-Difference between Delta y and dy
6.2: Rules of Integration  (Practice Test)
  1. Theorems on Anti-derivative
  2. Problem1-Theorems on Anti-derivative
  3. Problem2-Theorems on Anti-derivative
  4. Problem3-Theorems on Anti-derivative
  5. Problem4-Theorems on Anti-derivative
  6. To Integrate x Raise to Power n
  7. Problem1-To Integrate x Raise to Power n
  8. To Integrate Sine Functions
  9. To Integrate Cosine Functions
  10. To Integrate Secant Squared Fucntions
  11. To Integrate secx.tanx
  12. To Integrate Cosecant.Cotangent Functions
  13. Integrating Exponential Functions
  14. To Integrate 1 by x
  15. To Integrate Tangent Functions
  16. To Integrate Cotangent Functions
  17. To Integrate Cosecant Functions
  18. Integrating Power Functions with Given Derivatives
  19. More on Integrating Power Functions with Given Derivatives
6.3: Integration By Substitution  (Practice Test)
  1. Integration by Substitution
  2. Some Useful Substitutions in Integration
  3. More on Some Useful Substitions in Integration
  4. Some More Useful Substitions in Integration
  5. Problem-Integration by Useful Substitution
  6. Problem2-Some More Useful Substitions in Integration
  7. Prolem3-Some More Useful Substitions in Integration
  8. Prolem4-Some More Useful Substitions in Integration
  9. Prolem5-Some More Useful Substitions in Integration
6.4: Integration By Parts  (Practice Test)
  1. Integration by Parts
  2. More on Integration by Parts
  3. Problem1-Integration by Parts
  4. Problem2-Integration by Parts
  5. Problem2b-Integration by Parts
  6. Integration by Parts of Trigonometric Functions
  7. More on Integration by Parts of Trigonometric Functions
6.5: Integration Using Partial Fractions  (Practice Test)
  1. Integrating Partial Fractions with Non-repeated Factors
  2. Problem1-Integrating Partial Fractions with Non-repeated Factors
  3. Problem1a-Integrating Partial Fractions with Non-repeated Factors
  4. More on Integrating Partial Fractions with Non-repeated Factors
  5. Integrating Partial Fractions with repeated Linear Factors
  6. Problem1-Integrating Partial Fractions with Non-repeated Linear Facto
  7. Problem1a-Integrating Partial Fractions with Non-repeated Linear Fact
  8. More on Integrating Partial Fractions with repeated Factors
  9. Integrating Partial Fractions with Non-Repeated Quadratic Factors
  10. Problem1-Integrating Partial Fractions with Non-Repeated Quadratic Fa
  11. Problem1a-Integrating Partial Fractions with Non-Repeated Quadratic F
  12. More on Integrating Partial Fractions with Non-Repeated Quadratic Fac
  13. Further to Integrating Partial Fractions with Non-Repeated Quadratic
6.6: Definite Integrals  (Practice Test)
  1. The Definite Integral
  2. Problem1-The Definite Integral
  3. Problem2-The Definite Integral
  4. Problem2a-The Definite Integral
  5. Area Under the Curve
  6. Problem1-Area Under the Curve
  7. Problem2-Area Under the Curve
  8. More on Area Under the Curve
  9. Negative Area by Definite Integral
  10. negative Area by Definite Integral
  11. Symmetrical Area by Integration
  12. Area Bounded by Two Curves by Integration
  13. To Deal with Negative and Positive Areas in Integation
  14. Area Bounded by Two Curves Above and Below x-axis
  15. Application of Definite Integral
  16. More on Application of Definite Integral
  17. Problem1-Application of Definite Integral
  18. Problem2-Application of Definite Integral
  19. Problem2a-Application of Definite Integral
  20. Problem3-Application of Definite Integral
  21. Problem3a-Application of Definite Integral
  22. Maple Command for Integration