I'm wondering if anyone has any advice on where to even start for proving this:
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It is asked to prove that
And this does not take much time, 'cause it's a hidden arctangent, so
Thanks a lot! I'll try something similar to that for sech^2 and see what I get.
But why isn't that -pi/2? I mean isn't
No, be careful:
Ok so my second question was:
So I did:
Does that look good?
Ok I've hit a brick wall with this one:
I'd just like a hint in the right direction.
My first thought is write as
Ok so I tried that and it seems like it is somewhat on the right track but It doesn't divide by the (n-1):
Anyone have any ideas?
Originally Posted by TrevorP Ok so I tried that and it seems like it is somewhat on the right track but It doesn't divide by the (n-1): .
Integration by parts is the way to go: .
Note that .
Calculate and sub it in.
Now re-arrange the resulting equation to solve for ......
Last edited by mr fantastic; Jan 29th 2008 at 05:10 PM.
Reason: Fixed a typo that led to a cascadng error. And added the integration by parts formula.
Thanks a lot! I had actually tried tanh^2 thing but made a mistake. Here is the solution for anyone if they are interested (I just really like using this LaTeX stuff!):
Last edited by TrevorP; Jan 29th 2008 at 06:16 PM.
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