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Integration

 
Tutorial Sheets
Integration Tutorial Sheets		 Integration
About Integration
  • Introduction to Integration
  • Indefinite Integrals
  • Integrate standard functions using substitution technique
  • Integration by Parts
  • Definite Integrals
  • Integration using Partial Fraction Expansion
  • Apply to calculation of areas and volumes (See Part 6)
  1. Rules of Integration – HERE [ 9:45]
  2. Definite Integrals – Computing an Area  [3:02]
  3. Definite Integrals – Example 2 [7:10]
  1. Definite Integrals – Example 1 [4:32]
  2. Integration Tutorial Questions [7:57]
  1. Integration by Partial Fraction Expansion – HERE
  2. Integration Substitution Technique [9:02]
  3. Simple Trigonometric Exercises – HERE [8:01]
Integration by Parts
  1. Integration by Parts Examples – HERE [13:19]
  2. Integration by Parts (Example 1)
  3. Integration By Parts (Video 1) [4:32]
  4. Integration by Parts  (Video 2)
  5. Integration by Parts  (Video 3)
 Tutorial 8
Integration tutorial sheet		 Tutorial 9
Integration tutorial sheet
Part 5 will cover the main topics of Integration. Although some applications of integration will appear in Part 6. Remarks (N.B. All calculations involving trigonometric functions are assumed to be denominated in radians.)