1. The problem statement, all variables and given/known data Evaluate the following integral: [integral](x^2)*ln(x)dx 2. Relevant equations I believe this is substitution by parts... 3. 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.