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ebk11

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## Homework Statement

Evaluate the following integral:

[integral](x^2)*ln(x)dx

## Homework Equations

I believe this is substitution by parts...

## The Attempt at a Solution

I chose u = ln(x), and dv = x^2. The problem I am having is I can't figure out what du and v should be, because I am thinking too much and confusing myself. If u = ln(x), then du should simply be 1/x, right? And if dv = x^2, then to get v, you just need the integral of x^2, which is just 2x. Is that right?

If those are right, then how come I come up with the following answer, which I don't believe is right (and I will laugh if it is but I really don't think so):

2x*lnx - 2x + C

Thanks in advance.

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