How do you integrate #int (3x^2-2x+5)/(x^2+1)^2# using partial fractions?
Write the numerator as:
Now solve the integral separately:
The third integral can be resolved by substituting:
use now the identity:
Use now the parametric formula:
to undo the substitution:
Putting it together:
This answer will only look at the partial fraction decomposition of the integrand as its integral has already been evaluated in the other answer.
Compare coefficients of all
Sub (4) into (2) and (3) into (1)
This can be rewritten as: