Complex Analysis: Fresnel Integrals

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Today, we use complex analysis and the Gaussian integral to evaluate the Fresnel integrals.
  1. qncubed3
  2. integral
  3. integral of sin(x)/x
  4. complex analysis
  5. contour integration
  6. contour integral
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Комментарии
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It’s such a blessing that I found this channel. Kudos to you.

lordstevenson
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My final today had this exact integral. I did kind of figure out that we need to take a Gaussian integral to come to the result but used some QUESTIONABLE mathematics.

Wish I'd watched this vid earlier.
Anyways this channel is absolutely amazing! Please keep it up.

devanshgupta
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Long time no see!!
I'm waiting for another beautiful problem like this ...
*QN³* ❤️

wuyqrbt
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Great as usual 🤓 ...
I just enjoyed .
And it would be great if you combine several methods for solving this integral (including this way) and make a video for it.
Thank you so much dear *QN³*

wuyqrbt
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for calculating the Gamma contribution, could you have also just said that since lim R->inf will make the inner integral expression converge to 0, the integral itself must be 0?

DanielSanango-jw
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Please mention the function of both the integration at 32:42 time....💐

pushpendrakumar-onpj
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How does one cite your work/method, if used in a project?

mcnstein
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Minute; 12:18
Skip to min: 32 ?
Never!

wuyqrbt
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You could've saved more time with gamma using residues theorem without having to evaluate all the integrals

marouanesharry