How do you use partial fraction decomposition to decompose the fraction to integrate #(x^2-x-6)/(x^3 +3x)#?
First we need to factor the denominator into quadratic and linear polynomials that are irreducible using Real coefficients.
So we need to find
Clear the denominators or get a common denominator on the left to see that we need:
Setting the coefficients equal to each other, we need to solve:
We can quickly see that we need