# An Integral problem with x,lnx with progress done [ check it]

An Integral problem with x,lnx with progress done [plz check it]

QUESTION: How and what was changed from the original formula?
Whats up with all the Sqrts above the 5:s
Is this some kind of compensation because the current formula
diverge from the Real formula? How was it done?

## Homework Statement

\$dx/x(5*(lnx)^2), See a detailed scanned paper below

## Homework Equations

You can find everything on the scanned paper below

## The Attempt at a Solution

Yes The problem is solved already, but I have questions on why certain things are like they are. See the scanned paper. Thanks

Scanned Solution [PLAIN]http://img146.imageshack.us/img146/3544/kaat001.jpg [Broken]

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The formula says that when the denominator is a2 + x2, the resulting expression uses a. The original expression has $5 + u^2 = (\sqrt{5})^2 + u^2$ in the denominator, so the resulting expression uses $\sqrt{5}$.