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Thursday, October 3, 2013

Integration - Partial Fractions

Category: Integral Calculus, Algebra

"Published in Newark, California, USA"

Evaluate


Solution:

Consider the given equation above 


if


then


Since the numerator is only dx, then we cannot integrate the above equation by simple integration. However, we can factor the denominator as follows


The above equation can be expressed into partial fractions as follows 


Consider


Multiply both sides of the equation by their Least Common Denominator (LCD), we have
 
 
 
  Equate x2:



Equate x:


Equate x0:



Substitute the values of A, B, and C to the original equation, we have





You can also simplify further the above equation as follows