Integration Techniques

Integration Techniques

1. Partial Fractions

   • • Factor the denominator and simplify
       • • Rearrange the equation
           • • To solve for A, let x=3
               • • To solve for B, let x= 2
                   • • Input A and B values in the equation
                       • • And finally just integrate

2. Change of Double Variable/ Double Substitution

   • • Apply substitution u=3-x➝x=u-3 and dx=-du
       • • Simplify and multiply
           • • • Then just integrate

3. Integration by Parts

   • Nemotechnique rule= LATE= L (Logarithmic) A (Algebraic) T (Trigonometric) E (Exponential)
     • General rule of integration by parts:
       • • Example
           • • Find du
               • • Find dv
                   • • Input the values of u and dv in the equation for integrate
                       • • Integrate and simplify

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