You should know that the answer is:
You should also know never to listen to me when you get past algebra
(sigh) I know I've seen how to do this before, but I can't find the notes!
The problem is this:
where a is real.
It is simple enough to show that the integral is equal to a real number, so
as an alternate formula.
Comparing two lines in the book I got this from the integral should be equal to
(For the case a = 0, the integral is simple and comes out to be equal to 2. Obviously I'm not worried about this case.)
Any takers? Thanks in advance.
-Dan
Heavens. I had transformed the integral by substituting and took a look at and decided it was an odd function over . It isn't, of course.
Now I've got a "real" problem (pun intended) because my book clearly indicates the real.
Thanks! Back to the books to find out what's going on.
-Dan
I don't mind that you pointed out something I should have seen almost immediately. I don't mind that I figured this out late last night and didn't get to the post early enough to "save face" by mentioning I figured it out.
What I mind is that I spent hours working on a problem that I should have been able to answer in minutes.
Ah well. The learning process! Thanks CaptainBlack.
-Dan