How do you integrate # (x^2+8)/(x^2-5x+6)# using partial fractions?
2 Answers
Explanation:
Factorize the denominator:
Before performing partial fraction decomposition of the rational function, the numerator must have lower degree than the denominator, so split the function as:
Now:
So:
Explanation:
Dividing by the denominator leads to
Since
Multiplying both sides by
Substituting
Integrating this leads to the quoted result quickly!