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 only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
![Erdos](https://matchmaticians.com/storage/user/100028/thumb/matchmaticians-3empnt-file-5-avatar-512.jpg)
4.7K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 544 views
- $40.00
Related Questions
- Please answer the attached question about Riemann integrals
- Find $n$ such that $\lim _{x \rightarrow \infty} \frac{1}{x} \ln (\frac{e^{x}+e^{2x}+\dots e^{nx}}{n})=9$
- Prove the trig identity $\frac{\sin x +\tan x}{1+\sec x}=\sin x$
- Create a rational function, g(x) that has the following properties.
- Double Integrals, polar coordinates, Stoke's theorem, and Flow line Questions
- Evluate $\int_{|z|=3}\frac{1}{z^5(z^2+z+1)}\ dz$
- Fixed points of analytic complex functions on unit disk $\mathbb{D}$
- Multivariable Calc: Vector equations, parametric equations, points of intersection