How do you integrate #int (3x^3+2x^2-7x-6)/(x^2-4) dx# using partial fractions?
The integral is
Start by using long division to divide. We want the degree of the numerator to be less than the degree of the denominator.
So, the quotient is
We can now write
So, the partial fraction decomposition is
We rewrite the integral like this:
Integrate using the rule
You can check the answer by differentiating. You will get the initial problem.
Hopefully this helps!