Evaluate the following integral:
$$\int_0^\infty \frac{1}{x^4+1}dx$$
Do I use Cauchy's Integral formula?
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Hint : Use Residues calculus. – Sourav Ghosh Jan 13 '22 at 16:30
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@SouravGhosh Why? $x \to \frac{1}{y}$ works ways better. – Enrico M. Jan 13 '22 at 16:56
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@Elliptic Curve Yes. But since op wants to use cauchy integral formula, so I suggest Residues calculus will be a good choice. – Sourav Ghosh Jan 13 '22 at 17:08