Question

Evaluate the integral

Answer 1

\[\int\limits_{-\infty}^{\infty}\frac{ \sin(x) }{ x }dx\]

Hint: Compute F(s) = Laplace transform of sin(x)/x

Answer 2

Couldn't;t I use a power series instead? Why was the hint even given?

Answer 3

So that you practice Laplace.

Answer 4

If I used a power series I don't think I need it O_o .

Answer 5

ok

Answer 6

if you have a section about laplace transforms and this is part of that section, it is probably expected that you use the methods you covered so that you become more familiar with them, rather than methods you knew and don't need review on. :p

Answer 7

Well we did learn about power series methods.

Answer 8

K so I computed the laplace transform. Now what :/ .

Answer 9

Nvm. I got it :P .

Answer 10

Ah, alright. Great! :)

I was not familiar with this method myself, so I also took something from trying this method. ;)

Answer 11

@AccessDenied

Answer 12

Looks good to me.

Answer 13

Thanks!

Answer 14

You're welcome!
Thanks for some good practice as well. A lot of your problems I have been refreshing my memory with! :)