Integration techniques

Integration techniques

1. Double Substitution

2. Partial Fractions

3. Integration by parts

4. Double substitution

5. Partial fractions

6. Integration by parts

7. Double substitution

   • 1. take out 'du' and 'dx'
     • 2. arrange the x alone using the 'u' term
       • 3. replace the x in the function and integrate

8. Partial fractions

   • 1. factor out d(x), the denominator
     • 2. split the equation
       • 3. spread until last factor
         • 4. multiply factors
           • 5. solve for letters, "A","B","C",etc.
             • 6. replace the values and integrate

9. Integration by parts

   • 1. finding "u" using LATE (Logarithmic, Algebraic, Trigonometric, Exponents), and derivate to find "du"
     • 2. place the values in the formula
       • 3. integrate

10. Tabular method

    • 1. devide the integral in two functions. (can be done several times)
      • 2. multiply the funtion with the integrated function

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