The King's Property of Definite Integrals (reflection property).

Comments · 39

• HE

  @henrymarkson3758 · 9 months ago

  I did not expect a devout religious man like Prime Newtons to say f(u)

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• IB

  @IbrahimKargbo-z6h · 9 months ago (edited)

  My first time of hearing and seeing the proof of king&apos;s rule and it&apos;s application in definite integrals.<br><br><br>Thanks a lots from <br>Sierra Leone.

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• BL

  @blurbora · 9 months ago

  i think you now know that JEE exams are approaching. nice

  24

• AN

  @anshveersinghbhamra9566 · 9 months ago

  I wasn&apos;t aware of this rule being called the kings rule. Thanks

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• MA

  @mathspoetica · 9 months ago

  I’m not at this level yet, doing grade 12 as of 2026 but happy to you see still posting

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• JO

  @joaomane4831 · 9 months ago

  Notice how your method was essentially a corollary of the King&apos;s rule that states that the integral of f(x) from a to b is 1/2 * integral of (f(x) + f(a + b -x)) over the same interval. Never stop learning. ❤

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• FE

  @FernandoRamirez-sg9ll · 9 months ago (edited)

  Great explanation of the Kings rule 👍

  3

• TO

  @tom-t4u5z · 9 months ago

  Never knew about this King&apos;s Property. &nbsp;Now, I finally know. &nbsp;Thank you!

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• ZE

  @zensvienna9007 · 9 months ago

  I&apos;ve always wanted to learn how this worked. You made it easy lol

  1

• CH

  @christoskettenis880 · 9 months ago (edited)

  In my home country Cyprus, we use many of these properties of definite integrals in our Pancyprian Exams curriculum (without naming them though) and they are remarkable if you have them in mind. It is part of the exam exercise first to prove the given property, usually with u-sub, and then use it to solve a very difficult integral, like the one in <a href="https://www.youtube.com/watch?v=hHY0bnMdevY&amp;t=410">6:50</a>. Very useful

  3

• OK

  @okulbu4697 · 9 months ago

  learned new thing, subscribed. thanks.

  3

• ER

  @ericchasseur3904 · 7 months ago

  So easy, and so powerful! Thank you for the trick!