Sunday, 28 October 2018

integration - How do I integrate (1/polynomial) without using partial fractions?

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 1(x2+5x+6)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|(x+2)(x+3)|+C to no avail. Can anyone help me how to solve the problem without using partial fractions?

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