Understanding the Step of Integrating $\int u*v'$

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Homework Statement



\int4x^-3*ln(9x)

Homework Equations



\int u'*v = u*v - \int u*v'

The Attempt at a Solution



i know the answer is \frac{-2ln(9x)-1}{x^2}

but i don't understand the step \int u*v'

if any could help me...thanks
 
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what don't you understand

u means u
v' means dv
 
Solved

thks i understand now
 
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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