Complex Analysis: Integral of sin(x)/x using Contour Integration

Comments · 125

• QN

  @qncubed3 · 6 years ago · pinned

  For those who are unsatisfied with the explanation at around <a href="https://www.youtube.com/watch?v=Ff4LRlflib0&amp;t=920">15:20</a>, here is an alternative way to evaluate the integral over Gamma, which requires further estimations.<br><a href="https://www.youtube.com/watch?v=yDiC_tZdEp8">https://www.youtube.com/watch?v=yDiC_tZdEp8</a>

  19

• ME

  @metincanatas5703 · 6 years ago

  Every theorem is proved while solving question, very nice.

  124

• KA

  @kayleeweatherspoon6526 · 3 years ago

  I <b>might</b> actually pass my qualifying exam because of your videos--thank you so much!

  9

• AL

  @alicesmith5361 · 6 years ago

  This is so cool! Thank you so much for this example; I was quite lost when my professor brought this kind of process up as a point tangential to the lecture.

  18

• BL

  @blzKrg · 5 years ago

  Your videos are extremely helpful!❤

  16

• FL

  @flix7280 · 4 years ago

  Thanks a ton! you&apos;re a blessing for high schoolers like me who want to learn contour integration

  39

• PE

  @peterastor613 · 6 years ago

  Loved your series (no pun intended) of math videos. &nbsp;In your videos on the integral of sin(x)/x, I wondered whether there was a simple answer if the limits of integration went from a (&gt;0) to infinity, rather than from 0 to infinity.

  10

• ER

  @ernestschoenmakers8181 · 1 year ago

  I prefer Feynman&apos;s technique to solve this integral

  9

• BF

  @BF慈善家 · 4 months ago

  Laplace transform also works

• IC

  @icee562 · 6 years ago

  noice All this just to prove inverse fourier transform of Fourier transform is the function itself .

  7

• SH

  @shashwat1330 · 6 years ago (edited)

  Very nice video, helped me a lot. Thank you so much.

  4

• BR

  @brucewang2017 · 6 years ago

  brilliant

  2