I'm having real problems integrating a natural log. The problem I have been set is (where S = integration sign)(adsbygoogle = window.adsbygoogle || []).push({});

S (x - 2) Ln(3x)

I'm trying to use the integration by parts rule but keep getting the wrong answer and I think it might be to do with the natural log. I have used

f(x) = Ln(3x) f'(x) = 1/x g'(x) = (x - 2) and g(x) = 1/2x^2 - 2x

Using the integration by parts formula, I end up with

Ln(3x) * x^2/2 - 2x + S1/2x - 2x

The answer is wrong..... Can someone help me out here.... Where am I going wrong?

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# Homework Help: Integrating Natural Log

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