How do you integrate #int 1 / ((x+5)^2 (x-1) ) # using partial fractions?
1 Answer
Sep 20, 2016
Explanation:
Since the denominator has been factorized as a combination of linear factors, one repeated, we may write it in partial fraction form as :
By comparing terms in the numerator, we now see that :
Solving this system of linear equations yields :
Hence the original integral may be written and solved as follows :