I had a lecture earlier today where the use of partial fractions was introduced. He used partial fractions and a more 'brute force' method to $\int\frac{1}{(x^2 + 5x + 6)}\mathrm dx$. I could solve this using partial fractions but I need to be reminded of the more difficult method(which I've learned months ago) for my current maths subject's purposes. I've been trying to find a solution that yields to $\ln\left|\frac{(x + 2)}{(x + 3)}\right| + C$ to no avail. Can anyone help me how to solve the problem without using partial fractions?
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