Eric Nicholas K's answer to Eileen's Junior College 1 H2 Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
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This is quite hard; there are three terms and we must decide correctly how to group them into two different groups for the integration by parts.

I tried to put x as a solo term and everything else as a group, but when I tried integration by parts, I was led to deeper territory, so it was not a good approach.

Finally, I decided this order of grouping and as it turns out, it was a good choice.