How do you find #int 10/((x-1)(x^2+9)) dx# using partial fractions?
1 Answer
Oct 29, 2015
Explanation:
Since the denominator consists of 1 linear factor and 1 irreducible quadratic factor, we may use the method of partial fractions to rewrite it as :
Now comparing terms we get that
Solving this linear system of equations yields :
Therefore the original integral may be written and solved as