evaulate when is the semicircle

I am not getting what my lecturer gets, ill show you what ive done.

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- May 4th 2011, 11:53 AMadam_leedsContour Integration
evaulate when is the semicircle

I am not getting what my lecturer gets, ill show you what ive done. - May 4th 2011, 12:02 PMadam_leeds
- May 4th 2011, 12:28 PMAckbeet
I get -4. What do you get?

- May 5th 2011, 10:50 AMadam_leeds
- May 5th 2011, 11:35 AMAckbeet

That is what I get, which agrees with your work so far. What next? - May 5th 2011, 11:42 AMadam_leeds
between and so

- May 5th 2011, 11:54 AMAckbeet
Your antiderivative is incorrect:

- May 6th 2011, 03:07 AMadam_leeds
- May 6th 2011, 04:37 AMAckbeet
Well, what do you get?

- May 6th 2011, 04:51 AMadam_leeds
- May 6th 2011, 04:54 AMAckbeet
- May 6th 2011, 07:44 AMadam_leeds
- May 6th 2011, 07:57 AMAckbeet
Well,

one of the most beautiful equations in all of mathematics, and also

Both are points on the unit circle in the complex plane. Another way of thinking about this is that

Hence,

and similarly for

Make sense? - May 6th 2011, 09:33 AMadam_leeds
- May 6th 2011, 09:37 AMAckbeet
You're welcome!