Integration by parts: ∫ udv = uv - ∫ vdu
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.