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Chapter 6: Antiderivatives (93 videos)
6.1: Antiderivation or Integration
  1. Antidifferentiation and Indefinite Integral
  2. Integral Language and Notation
  3. Difference between Delta y and dy
  4. Problem1-Difference between Delta y and dy
  5. Theorems on Anti-derivative
  6. Problem1-Theorems on Anti-derivative
  7. Problem2-Theorems on Anti-derivative
  8. Problem3-Theorems on Anti-derivative
  9. Problem4-Theorems on Anti-derivative
  10. To Integrate x Raise to Power n
  11. Problem1-To Integrate x Raise to Power n
  12. To Integrate Sine Functions
  13. To Integrate Cosine Functions
  14. To Integrate Secant Squared Fucntions
  15. To Integrate secx.tanx
  16. To Integrate Cosecant.Cotangent Functions
  17. Integrating Exponential Functions
  18. To Integrate 1 by x
  19. To Integrate Tangent Functions
  20. To Integrate Cotangent Functions
  21. To Integrate Cosecant Functions
  22. Integrating Power Functions with Given Derivatives
  23. More on Integrating Power Functions with Given Derivatives
6.2: Integration by Substitution
  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
6.3: Integration by Completing the Squares
  1. Integration by Completing Square
  2. Integration by Completing Square
6.4: Integration by Parts
  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: Partial Fractions
  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 Non-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 Non-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: Integation of Rational Fractions
  1. Integration of Rational Fractions
6.7: Area Under a Curve
  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. Symmetrical Area by Integration
  11. Area Bounded by Two Curves by Integration
  12. To Deal with Negative and Positive Areas in Integation
  13. Area Bounded by Two Curves Above and Below x-axis
  14. Application of Definite Integral
  15. More on Application of Definite Integral
  16. Problem1-Application of Definite Integral
  17. Problem2-Application of Definite Integral
  18. Problem2a-Application of Definite Integral
  19. Problem3-Application of Definite Integral
  20. Problem3a-Application of Definite Integral
6.8: Differential Equations
  1. Introduction to Differential Equation
  2. More on Introduction to Differential Equation
  3. Classification of Differential Equation
  4. More on Classification of Differnetial Equation
  5. Solving First Order Differential Equation
  6. More on Solving First Order Differential Equation
  7. Problem1-Solving First Order Differential Equation
  8. Problem2-Solving First Order Differential Equation
  9. Solving First Order Differential Equation by Initial Conditions
  10. P1-Solving First Order Differential Equation by Initial Conditions
  11. P2-Solving First Order Differential Equation by Initial Conditions
  12. P3-Solving First Order Differential Equation by Initial Conditions
  13. Homogeneous Differential Equation
  14. Differential Equation Reducible to Homogeneous Differential Equation
  15. Differential Equation of Orthogonal Trajectories
  16. More on Differential Equation of Orthogonal Trajectories
  17. Application of Differential Equations
  18. More on Application of Differential Equations
 

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