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I was trying to solve the following integral, but i don't seem to get anywhere.

[tex]\int_{0}^{\infty}ln^2(\frac{x^2}{x^2+3x+2})dx[/tex]

I played around with it, but got to a dead end each time.

At some point i get to integrating the following, which seem equaly difficult:

[tex]\int ln(x)ln(x+1)dx, \int ln(x+1)ln(x+2)dx, \int ln(x)ln(x+2)dx[/tex]

About the last ones, i was thinking for some series expansion, but it looks too nasty, and i am not even sure how to really go about it.

Any hints would be greatly appreciated.

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# Nasty Integral!

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