Videos for Khyber Pakhtunkhwa Board 12th Math Chapter 5: Integration - Sabaq Foundation

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Chapter 5: Integration (73 videos)  (Practice Test)
5.1: 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. Theorems on Anti-derivative
  7. Problem1-Theorems on Anti-derivative
  8. Problem2-Theorems on Anti-derivative
  9. Problem3-Theorems on Anti-derivative
  10. Problem4-Theorems on Anti-derivative
  11. To Integrate x Raise to Power n
  12. Problem1-To Integrate x Raise to Power n
  13. To Integrate Sine Functions
  14. To Integrate Cosine Functions
  15. To Integrate Secant Squared Fucntions
  16. To Integrate secx.tanx
  17. To Integrate Cosecant.Cotangent Functions
  18. Integrating Exponential Functions
  19. To Integrate 1 by x
  20. To Integrate Tangent Functions
  21. To Integrate Cotangent Functions
  22. To Integrate Cosecant Functions
5.2: Rules of Integration  (Practice Test)
  1. Integrating Power Functions with Given Derivatives
  2. More on Integrating Power Functions with Given Derivatives
5.3: 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
5.4: 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
5.5: Integration by 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 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
5.6: 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. 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
 

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