How do you use partial fraction decomposition to decompose the fraction to integrate #(x-1)/(1+x^2)#?
1 Answer
Aug 22, 2015
Because the denominator is already irreducible over the Reals, the fraction cannot be further decomposed. But . . .
Explanation:
We can rewrite the fraction
The first fraction can be integrated by substitution:
The second needs either a trig substitution or recognizing the derivative of arctan.
