Question

What is the value of the following integral using the residue integration method ?
$\int\limits_{-\infin}^{\infin}\frac{dx}{1+x^4}$

• A. $\frac{\pi}{\sqrt2}$
• B. $\frac{\pi}{2\sqrt2}$
• C. $\frac{\pi}{4}$
• D. $\frac{\pi}{2}$

Answer 1

Answer: (A)

$\frac{\pi}{\sqrt2}$

Answer 2

The correct option is (A) : $\frac{\pi}{\sqrt2}$.