Message Boards Message Boards

0
|
9827 Views
|
1 Reply
|
0 Total Likes
View groups...
Share
Share this post:

integral of (Sin(x)/x)^2

Posted 11 years ago
What is the most easiest way to solve the integral (sin(x)/x)^2 with limits from -infinity to infinity.

(sin(x)/x)^2 is the "squared Sinc(x)" function
POSTED BY: Rahul Pokhriyal
Posted 11 years ago
Pedantically speaking, you want the following (note that Sin/x really has a discontinuity at x=0, but Sinc doesn't):
Integrate[Sinc[x]^2, {x, -Infinity, Infinity}]
(* Pi *)
This also works, but technically it's not the same:
Integrate[(Sin[x]/x)^2, {x, -Infinity, Infinity}]
(* Pi *)
POSTED BY: Jari Kirma
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract