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**1.I am trying to evaluate the [tex]\int[/tex][tex]\frac{ln(x)}{(x^{2}+1)^{2}}[/tex] from 0 to inf**

**2. I think I am having problems defining what my branch cut should be.**

**3. Here is what I have tried to no avail. First set the branch cut from -infty to 0. Then changing it to a contour integral gives us ([tex]\int[/tex][tex]\frac{ln(x)}{(x^{2}+1)^{2}}[/tex]) = 2 [tex]\pi[/tex] i (a**

I get somewhat lost after this. Please help. I'm studying for finals but i don't really understand this

_{-1}(i)+a_{-1}(-i))=[tex]\frac{i \pi^{2}}{4}[/tex]I get somewhat lost after this. Please help. I'm studying for finals but i don't really understand this

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