- #1
player1_1_1
- 114
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Homework Statement
integral: [tex]\int\limits_0^\infty\frac{\mbox{d}x}{\left(x^2+1\right)\left(x^2+4\right)}[/tex]
The Attempt at a Solution
normally i would do [tex]I=\frac12\int\limits_{-\infty}^\infty\frac{\mbox{d}x}{\left(x^2+1\right)\left(x^2+4\right)}[/tex] and now count residues but is there any other thing what i can do without making it in [tex]x\in[-\infty,\infty][/tex]? what if i had [tex]\int\limits_a^\infty\frac{\mbox{d}x}{\left(x^2+1\right)\left(x^2+4\right)}[/tex] where [tex]a[/tex] is real, positive number?