(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

∫ ln(x^2+14x+24)

2. Relevant equations

Integration by parts: ∫ udv = uv - ∫ vdu

3. The attempt at a solution

I chose u = ln(x^2+14x+24) and dv = dx therefore

du = 2x+14/x^2+14x+24 and v = x

Then once I substitute, I get:

∫ ln(x^2+14x+24) = xln(x^2+14x+24) - ∫ (x(2x+14))/x^2+14x+24

Now I can't figure out how to integrate ∫ (x(2x+14))/x^2+14x+24. I've tried multiplying out, factoring. I thought I might have to use integration by parts again but it's not working out. Any help would be greatly appreciated. Thanks.

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# Integration by parts ln(x^2+14x+24)

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