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Integrating complex exponentials with Infinite limits

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Ribena
#1
Jan2-13, 07:39 AM
P: 6
Hi all,

I'm trying to integrate the function below with respect to x

exp(ix)-exp(-ix)

With infinity and negative infinity as the limits. Would the integration be possible?
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mfb
#2
Jan2-13, 08:51 AM
Mentor
P: 11,819
There is a shorter way to express this function.
Alternatively, you can find the anti-derivative, and check yourself.

As you are working with complex numbers, you should add that you try to integrate this along the real axis (well, I would expect this).

Would the integration be possible?
What do you think, and why?


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