How do you integrate #(3x^2+2x)/((x+2)(x^2+4))# using partial fractions?
The partial fraction decomposition will be of the form:
We now need to find the three coefficients,
Equating coefficients of
Equating coefficients of constants
So, we have:
I have omitted the derivation of the second interval, as the question is about partial fractions and not integration by substation, you can use http://www.integral-calculator.com/ to get a full step by step.