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- Jan 7th 2011, 02:33 PMRandom Variable
- Jan 7th 2011, 03:09 PMDrexel28
- Jan 7th 2011, 03:36 PMRandom Variable
I used contour integration and the Pac-Man contour to find I(a), unaware that by substitution I could make it look like that integral I asked about.

You and simplependulum are too good. I give up. (Clapping) - Jan 7th 2011, 06:33 PMRandom Variable
Doesn't ?

- Jan 7th 2011, 06:51 PMDrexel28
- Jan 7th 2011, 07:14 PMRandom Variable
The only other thing I see wrong in your first solution is what you substituted back in for dx. But even if you did that correctly, you would still get the negative of what you should get. So what else is wrong?

- Jan 7th 2011, 07:17 PMDrexel28
- Jan 7th 2011, 07:28 PMRandom Variable
So that's where the negative was hiding. Sneaky bastard.

EDIT: I was referring to the negative; not you. - Jan 8th 2011, 10:52 AMRandom Variable
How about

This one I worked out without using contour integration. - Jan 8th 2011, 11:10 AMDrexel28
- Jan 8th 2011, 11:43 AMRandom Variable
I can generalize my solution, which doesn't rely on the previous problem.

reverse the order the integration and let

- Jan 8th 2011, 11:45 AMDrexel28
- Jan 12th 2011, 10:52 AMRandom Variable
EDIT: On second thought, it's really not that interesting. Nevermind.

- Jan 12th 2011, 05:45 PMDrexel28
- Jan 13th 2011, 12:16 AMRandom Variable