Hi guys,

I have a simple calculus question, (so simple it's actually embarrassing(Worried))

So I'm reading this article that says:

But I can't get that result!!!

Can anyone show me the intermediate steps please?

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- Aug 15th 2012, 08:57 AMfarhadbsimple calculus question
Hi guys,

I have a simple calculus question, (so simple it's actually embarrassing(Worried))

So I'm reading this article that says:

But I can't get that result!!!

Can anyone show me the intermediate steps please? - Aug 15th 2012, 01:34 PMVlasevRe: simple calculus question
I assume that you are integrating with respect to . You mostly need the following identities

Then you find the limit as . It is 1/2 or -1/2 depending on whether or not. Suppose that . Then

The integral in the denominator is

Converting to trigonometric form, the top integral becomes

and the bottom integral becomes

The fraction of these simplifies to

The whole sum is now equal to

I'm not sure how one can proceed from here. - Aug 16th 2012, 12:09 PMfarhadbRe: simple calculus question
Thank you Vlasev,

I am getting quite similar results to yours, which is obviously different the one I expected!

My original reference is the appendix section of this paper:

http://carlos-hernandez.org/papers/hernandez_cvpr07.pdf

The authors are quite well known in their field and the paper was published in a very high ranked conference, so I will be very surprised if their calculation is wrong. - Aug 16th 2012, 10:53 PMVlasevRe: simple calculus question
Even thought they are well-known and the conference is highly-ranked, it's not guarantee that there won't be any mistakes. I'd say that there will be more mistakes in places where a derivation should be "obvious". The referees will probably not check. As for this, I don't know whether it's wrong or not.

Edit: I think their identity might well be wrong.