Using methods of complex analysis, evaluate \[ \int _0^\infty \frac {x^2}{x^4+x^2+1}\,dx. \]
Question
Math 6210 • Real Analysis
Fall 2017 • Question 8
Question
Fall 2017 • Question 8
Using methods of complex analysis, evaluate \[ \int _0^\infty \frac {x^2}{x^4+x^2+1}\,dx. \]