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## Homework Statement

[tex]\int\limits^{ +\infty }_{0}\frac{ \sqrt{x} \mbox{d} x }{ x^2+1 }[/tex]

## The Attempt at a Solution

I make substitution [tex]\sqrt{x}=t[/tex] and then

[tex]\int^{ +\infty }_{0}\frac{ t^2 \mbox{d} t }{ t^4+1 }[/tex]

and now this function is odd, so I make a half circle and count residues yeah?