Prove that $\int_{-\infty}^{\infty}\frac{\cos ax}{x^4+1}dx=\frac{\pi}{2}e^{-\frac{a}{\sqrt{2}}}(\cos \frac{a}{\sqrt{2}}+\sin \frac{a}{\sqrt{2}} )$
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment

4.4K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 338 views
- $40.00
Related Questions
- Find the average value of the function $\frac{\sin x}{1+\cos^2 x}$ on the interval $[0,1]$
- Convergence of integrals
- Show that the distance between two nonparallel lines is given by $\frac{|(p_2-p_1)\cdot (a_1\times a_2)|}{|| a_2\times a_1||}$
- Second order directional derivative
- Mechanical principle help (maths)
- Minimizing the cost of building a box
- Calculus word problem
- Rainbow Vectors