Improper Integrals of Type I (Infinite Intervals) in 12 Minutes

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  • Опубликовано: 6 сен 2024
  • In this video we talk about how to compute Improper Integrals of Type I (improper integral with infinite discontinuity) and determine whether the integrals are convergent or divergent. We present three examples here:
    0:18 - integral from a number to positive infinity
    1:50 - integral from negative infinity to a number
    4:40 - integral from negative infinity to positive infinity
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    #ImproperIntegrals #Integration #Calculus

Комментарии • 41

  • @oliverm8058
    @oliverm8058 Год назад +23

    I have my calc 2 midterm later this afternoon. This video really helped me out. Thank you so much for you time and service to and for the community.

    • @GlassofNumbers
      @GlassofNumbers  Год назад +4

      That's great! Good luck on your Calc 2 midterm!

    • @sultanaskerzade7400
      @sultanaskerzade7400 9 месяцев назад +1

      how was the exam😂

    • @oliverm8058
      @oliverm8058 9 месяцев назад +1

      @@sultanaskerzade7400 I passed calc two thank god. Calc three is harder, hopefully I can make it through this final

    • @hanbean22
      @hanbean22 2 месяца назад

      ​@@oliverm8058 WAIT CALC 3? 😮 What program are you in?

    • @oliverm8058
      @oliverm8058 2 месяца назад

      @@hanbean22 lol. mechanical engineering

  • @kirin4244
    @kirin4244 Год назад +5

    This is very simple and explanatory. Thank you so much.

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      Thank you!! Please help me share this video with others 😁👍

  • @Nisha-rg5jb
    @Nisha-rg5jb Год назад +5

    Thank you, Sir, It was fruitful

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      Thank you for the comment! Please help me share the video with others 😁👍

  • @skylarsword8278
    @skylarsword8278 4 месяца назад +2

    THANKS A LOT

  • @ozilmth
    @ozilmth 5 месяцев назад +2

    I really appreciate it ❤❤

    • @GlassofNumbers
      @GlassofNumbers  5 месяцев назад

      Thank you! Please help me share the video with others 😁👍

  • @aidanvaughan2233
    @aidanvaughan2233 Год назад +4

    Very helpful and informative video. Many thanks!

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      Thank you! Please help me share the video with others 😁👍

  • @AhmedHassan-lg5qz
    @AhmedHassan-lg5qz Год назад +2

    Thanks a lot for your time

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      Thank you for the comment! Please help me share the video with others 😁👍

  • @FaridMasterman
    @FaridMasterman 5 месяцев назад +1

    Thank you, this saved me from pages of BS. :p

    • @GlassofNumbers
      @GlassofNumbers  5 месяцев назад

      Glad to hear my video helps! Thank you! Please help me share this video with others 😁👍

  • @GreenTornado
    @GreenTornado Год назад +3

    I have a question about the last integral; can you use Integration by Parts (since it's a product) or must it be integrated using substitution?

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      You can let u = 1 and dv = xe^(-x^2) dx and use substitution to find v.

    • @GreenTornado
      @GreenTornado Год назад

      @@GlassofNumbers Thank you. 😊

  • @mohan153doshi
    @mohan153doshi Год назад +4

    That was an awesome explanation and done so neatly. Great video.

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      Thank you! Please help me share the video with others 😁👍

    • @mohan153doshi
      @mohan153doshi Год назад

      @@GlassofNumbers - sure

  • @biaforcecorporation
    @biaforcecorporation 5 месяцев назад +1

    simple and nice really thanks man

    • @GlassofNumbers
      @GlassofNumbers  5 месяцев назад

      Thank you! Please help me share the video with others 😁👍

  • @piqueras_
    @piqueras_ Год назад +2

    I usually laugh at comments saying they have a final next day but this might be my case rn...

    • @GlassofNumbers
      @GlassofNumbers  Год назад

      We all study hard before the final! Good luck on your final exam!!

  • @antonioassante3044
    @antonioassante3044 Год назад +2

    Amazing video!💯

  • @user-zi4vg7fr1q
    @user-zi4vg7fr1q 4 месяца назад +1

    ❤ nice well understood

    • @GlassofNumbers
      @GlassofNumbers  4 месяца назад

      Thank you for your support! Please help me share the video with others 😄👍

  • @sparr0www820
    @sparr0www820 Год назад +2

    Thanks a lot for your video, but could I say that the last integral is obvious because the function is odd

    • @GlassofNumbers
      @GlassofNumbers  Год назад +1

      If the integral is not convergent, we can't use that property. The integral of x from -inf to inf is not zero even though f(x) = x is an odd function.

    • @sparr0www820
      @sparr0www820 Год назад

      ​@@GlassofNumbers That's right, thanks for reply. But I think this one in the video converges so we can use that... I'm not sure though

  • @mohan153doshi
    @mohan153doshi Год назад +2

    BTW, what does Glass of Numbers mean?

    • @GlassofNumbers
      @GlassofNumbers  Год назад +1

      It means a glass with numbers in it 😁

    • @mohan153doshi
      @mohan153doshi Год назад +1

      @@GlassofNumbers - as good as it gets.

  • @Valadez14
    @Valadez14 Год назад +2

    🙂