- #1
Char. Limit
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So, I was playing on Wolfram Alpha, and I managed to come up with this:
http://www.wolframalpha.com/input/?i=integral_(+infinity+*+sqrt(-1)+)^pi+e^(ix)+dx&x=0&y=0
In Tex, I believe this is...
[tex]\int_{i\infty}^{\pi}e^{i x} dx = i[/tex]
However, I have more than one problem with it, and I want to know if my problems are actually problems. First, the bounds. Can you multiply a transfinite number by i? Would the answer make any sense whatsoever? And can you integrate from an imaginary point to a real point?
Actually, those bounds are the only problems I have... But they do look problematic. Can someone tell me if this integral is a real integral?
http://www.wolframalpha.com/input/?i=integral_(+infinity+*+sqrt(-1)+)^pi+e^(ix)+dx&x=0&y=0
In Tex, I believe this is...
[tex]\int_{i\infty}^{\pi}e^{i x} dx = i[/tex]
However, I have more than one problem with it, and I want to know if my problems are actually problems. First, the bounds. Can you multiply a transfinite number by i? Would the answer make any sense whatsoever? And can you integrate from an imaginary point to a real point?
Actually, those bounds are the only problems I have... But they do look problematic. Can someone tell me if this integral is a real integral?
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