I found this interesting but different way to solve integration by parts problems on the internet: http://imageshack.us/photo/my-images/854/integration20by20parts2.jpg/(adsbygoogle = window.adsbygoogle || []).push({});

It seems to work well for me when doing most textbook problems, except when the integrand contains a natural logarithm. I just want to know, are there other special circumstances in which you'd have to do use the definition of integration by parts to carry out the integration?

Thanks in advance.

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# When exactly does the tabular method for integration by parts fail?

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