Using the methods of complex analysis, compute \[ \int _0^\infty \frac {x^2}{x^4+1}\,dx \] and simplify your answer.
Question
Math 6210 • Real Analysis
Spring 2019 • Question 6
Question
Spring 2019 • Question 6
Using the methods of complex analysis, compute \[ \int _0^\infty \frac {x^2}{x^4+1}\,dx \] and simplify your answer.