Why cant I remember how to integraTE

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[SOLVED] why can't I remember how to integraTE

x^2lnxdx ? I can't find a formula that matches up?
 
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You want help to Integrate it or just saying why can't you remember the table formula and you want someone to give it to you?

\int x^2\ln xdx

Integrate by Parts: I=uv-\int vdu

u=\ln x
du=\frac{dx}{x}

dV=x^2dx
V=\frac 1 3 x^3
 
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Are you answering my question, or just asking me to restate the original.
 
why can't I remember how to integraTE
Smoking funny cigarets? Drinking too much? Misplaced capitals syndrome?
 
cigarets spelled like that must be funny! Anyway, by parts it is. Thanks B.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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