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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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