Area under the parametric curve (KristaKingMath)

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 71

  • @caseykc9403
    @caseykc9403 7 ปีที่แล้ว

    Your voice is so soothing, even people who don't like math can watch your videos all day long. You explain everything very well, I wish you were my professor. Thank you for these videos.

  • @kristakingmath
    @kristakingmath  11 ปีที่แล้ว

    Thanks!

  • @kristakingmath
    @kristakingmath  11 ปีที่แล้ว +3

    love it when that happens! you're welcome! :)

  • @westaylor4604
    @westaylor4604 10 ปีที่แล้ว

    It is amazing how clear you can explain it! I go to class I listen for content and ideas then I come here for the explanation. You are awesome!

  • @Pluxars
    @Pluxars 11 ปีที่แล้ว +1

    Isn't it much easier if you start out setting y=0 then it gives you the t values 0 and 1. You know the y component is 0 then you plug the t values into the x equation and you have the coords on the x axis. You can pick 1/2 t to make sure that it is concave down. Then you never have to get into natural log and it seems to be much simpler.

  • @kristakingmath
    @kristakingmath  12 ปีที่แล้ว

    thank you so much, i'm glad you think so!! :D

  • @Quijanos1
    @Quijanos1 12 ปีที่แล้ว

    Superlative job! Love the voice and explanation.

  • @deepakbharti8300
    @deepakbharti8300 12 ปีที่แล้ว

    The way to explain things is awsome ... you magiclay make things so easy... :) great work !!! carry on... :)

  • @ChristopherMendoza1
    @ChristopherMendoza1 12 ปีที่แล้ว

    You uploaded this right as I needed to learn it. Thanks so much! :)

  • @MrCrazyGuy24
    @MrCrazyGuy24 8 ปีที่แล้ว +7

    we did all this work to arrive at 3-e i should have become an art major but im in calc 3 no going back now lol

  • @jorgerangel2390
    @jorgerangel2390 10 ปีที่แล้ว +1

    I really love the way you explain, thanks you!.

  • @jitterball
    @jitterball 8 ปีที่แล้ว

    You have the softest voice ever! If you were my teacher, you'd always find me sleeping during your class^^

  • @kristakingmath
    @kristakingmath  12 ปีที่แล้ว

    thank you so much!! :D

  • @kristakingmath
    @kristakingmath  12 ปีที่แล้ว

    that's awesome, i'm so glad!! :D

  • @kristakingmath
    @kristakingmath  12 ปีที่แล้ว

    thank you so much!! you're welcome!! :D

  • @Pluxars
    @Pluxars 11 ปีที่แล้ว

    I meant to say that your video was also very helpful! Thank you!

  • @DOL3rd
    @DOL3rd 11 ปีที่แล้ว

    This video is fucking spectacular. Stewart Calc, 10.2, # 33.
    I had a lot of trouble with this.
    I never thought to factor out the ln(x-1) to leave [ln(x-1)][1-ln(x-1)]. I had tried doing this without factoring and it was a bit more difficult that way.
    As long as you keep picking out the tricky problems in the book and explaining them, I will keep watching.
    -New subscriber.

  • @chancekelly274
    @chancekelly274 6 ปีที่แล้ว

    I love your explanation! Thank you sooo much! 😊

  • @kristakingmath
    @kristakingmath  12 ปีที่แล้ว

    Love when that happens! :)

  • @jamesmoriaty1098
    @jamesmoriaty1098 12 ปีที่แล้ว

    U r awesome !! Thanx a lot for the tremendous help

  • @maithamjafar131
    @maithamjafar131 10 ปีที่แล้ว +2

    fantastic. Thank you very much.

  • @kristakingmath
    @kristakingmath  11 ปีที่แล้ว

    LOL, awesome!! I'm so glad it helped!! :D

  • @andresb9006
    @andresb9006 5 ปีที่แล้ว

    Krista you are an awesome youtuber it is a crystal clear explanation or "Kristal clear" lol thank you so much, I do not have enough words to thank you for all that I've learned with your videos. God bless you!!!. 😊😊😊

  • @g194g
    @g194g 5 ปีที่แล้ว

    Thank you! Super helpful!!

    • @kristakingmath
      @kristakingmath  5 ปีที่แล้ว +1

      You're welcome, Gabe! I'm so glad it helped! :D

  • @airsh0w
    @airsh0w 10 ปีที่แล้ว +2

    Hey great explanation and your videos have been really helpful to me but I may suggest a revision to the method of finding the limits of integration. Instead of eliminating the parameter. I suggest just solving the parametric equations for the parameter by solving the y parametric equation for zero then plugging those values into the x parametric equation to get the 1 and zero for t and it is much easier.

  • @topxplayer8628
    @topxplayer8628 9 ปีที่แล้ว

    youre an amazing teacher

    • @kristakingmath
      @kristakingmath  9 ปีที่แล้ว

      +topxplayer Thank you very much!

  • @nkazinchinda152
    @nkazinchinda152 9 ปีที่แล้ว

    Hi, I'm a sophomore who is going for valedicatorian, so I took the AP Calc BC Exam this year while taking the AP Calc AB class. I got a 5 on both portions, and if it wasn't for my six hour integralCALC youtube video marathon the weekend before the exam, I would have been lucky to get a four! Thank you so much!

    • @kristakingmath
      @kristakingmath  9 ปีที่แล้ว

      Nkaziewoh Nchinda You're welcome, and I'm so happy for you!! Great job on the exam, and good luck with valedictorian, I hope you get it!!

  • @Duhitpt
    @Duhitpt 8 ปีที่แล้ว

    Thank you so much!

  • @oscarsanchez-hc6zv
    @oscarsanchez-hc6zv 11 ปีที่แล้ว

    awesome same problem on my hw, now i understand more thanks

  • @fingerprint2329
    @fingerprint2329 9 ปีที่แล้ว +1

    ur voice is relaxive plus great explanation no need to go to school :)
    thank you

  • @robertcoggin8300
    @robertcoggin8300 9 ปีที่แล้ว

    One thing that keeps tripping me up is my book has integral set ups for area under parametric curves where either f(x) or g(x)'s derivative is used, depending on whether the curve traces out clockwise or counterclockwise. Is this merely determined based on the points of x and y you'd plot for the values of t found from alpha to beta? The book is terrible at explaining this and only mentions it in one brief block before moving on, but my homework problems have been in question on account of this.

  • @Falcon843
    @Falcon843 8 ปีที่แล้ว

    Very helpful, thank you!
    What's the extra benefit from using your website rather than just watching the videos on TH-cam?

    • @kristakingmath
      @kristakingmath  8 ปีที่แล้ว

      The site is ad-free, plus it has all the videos, and notes and quizzes, plus formula sheets. And you can ask questions on any of the lessons. :D

  • @SjukhaMnguni
    @SjukhaMnguni 11 ปีที่แล้ว

    I so love u, n your videos #Mathified!

  • @MsReeses97
    @MsReeses97 10 ปีที่แล้ว

    why do you have to also evaluate the "uv" part of the integration by parts from 0 to 1?

  • @rish_official1934
    @rish_official1934 7 ปีที่แล้ว

    Hi, is it possible for you to solve this directly? I.e. instead of expressing y in terms of X, can we solve in terms of t? In this case will the limits also change? Thanks

  • @rosecabug8674
    @rosecabug8674 8 ปีที่แล้ว

    Thanks! Although for this problem, I find that tabular integration works faster than IBP.

  • @eltonfi
    @eltonfi 10 ปีที่แล้ว

    I love you!

  • @bitscruff354
    @bitscruff354 8 ปีที่แล้ว

    I'm sorry, but at 5:45 why is t = ln(x-1) when above it was 1-ln(x-1)? where did the 1- go? Still a great video, you just lost me there. Thanks

    • @woodyyyy3386
      @woodyyyy3386 4 ปีที่แล้ว

      yeah same question here

  • @StandbytheTruth21
    @StandbytheTruth21 7 ปีที่แล้ว

    I think it would've been nice if you had explained why the x values after eliminating the parameter give you your a and b. It's not obvious at all why they are the limits of integration. Also, since our curve is above the x-axis, this implies that y>0 which means that as another person said, I could've found t=0 and t=1 and then do a sign chart which would've given us the interval from t=0 to t=1 that works which then we could proceed to solve our parametric integral.

  • @100equus
    @100equus 10 ปีที่แล้ว +1

    Superlike!

  • @kismetbridgeforth9131
    @kismetbridgeforth9131 8 ปีที่แล้ว +1

    Your intelligence is absolutely beautiful!

  • @Yulaw2k
    @Yulaw2k 12 ปีที่แล้ว

    that was intense................ but now i remember how to do integration by parts! haha

  • @FJ2022
    @FJ2022 10 ปีที่แล้ว

    If we set y=0 and then solve for t, it would give us same values that you found for t. But, is this way right? And I also tried to set x=0 but it did not work. Is it only working when u set y=0?

  • @tonykong5954
    @tonykong5954 8 ปีที่แล้ว +3

    could you not have just found alpha and beta by just doing 0=t-t^2 and find the t's?

    • @fadilaelcheikh5006
      @fadilaelcheikh5006 7 ปีที่แล้ว

      i thought about the same thing some problems you need to find a and b to know the order of alpha and beta

  • @woodyyyy3386
    @woodyyyy3386 4 ปีที่แล้ว

    how did you factor that ln(x-1)^2?

  • @ousen3629
    @ousen3629 8 ปีที่แล้ว

    Your voice is so relaxing that I fell asleep and missed my midterm exam. Please have an alarm at the end of the video.
    Great explanation though. Thank you!

    • @kristakingmath
      @kristakingmath  8 ปีที่แล้ว +1

      lol, at least you got some rest :)

  • @yanbanales-garcia8563
    @yanbanales-garcia8563 4 ปีที่แล้ว

    couldn't we just set y=0 to find the Time intervals where the graph crosses the x axis 0,1 which would be Alpha and Beta

  • @MrInzombia
    @MrInzombia 10 ปีที่แล้ว

    Your voice sounds like sweet music to my ears. Way better than my douche bag professor who is really grumpy at 8am in the morning

    • @kristakingmath
      @kristakingmath  10 ปีที่แล้ว +1

      Sorry to hear about your professor! But I'm glad I can help! :)

  • @mpotsengmasetla947
    @mpotsengmasetla947 8 ปีที่แล้ว

    U are awesome, keep up the good work......... if u were mi biological sister, maths will automatically be mi friend. but 4 now, me nd maths we are big enemies

  • @woodyyyy3386
    @woodyyyy3386 4 ปีที่แล้ว

    i really dont understand how you factor that part fam that really pissed me off

  • @victorbicamumpaka2044
    @victorbicamumpaka2044 11 ปีที่แล้ว

    shes good i must say

  • @kristakingmath
    @kristakingmath  11 ปีที่แล้ว

    :D

  • @MultiMathtutor
    @MultiMathtutor 10 ปีที่แล้ว

    I agree with Pluxar below. See Patrick JMT video Parametric Curves - Calculating Area

  • @zulumthokozisi7483
    @zulumthokozisi7483 10 ปีที่แล้ว

    women you rock

  • @Jadevhn
    @Jadevhn 6 ปีที่แล้ว

    Thanks for your videos. It would be better if you talk a bit slower.

  • @karimkhan1312
    @karimkhan1312 8 ปีที่แล้ว

    there is a simpler method that gives same answer = amarjeet = advocate = delhi high court =india

  • @lebgang
    @lebgang 12 ปีที่แล้ว

    your god ..
    thank you soo much

  • @Siddeo
    @Siddeo 8 ปีที่แล้ว

    You are among very few women TH-camrs whose channels actually make sense....lol...Not being sexist..But thats true...Somewhere lost in the vast expanse of videos on Topics like women buying new lipstick,new shampoo,new hairstyles,new boyfriend(just kidding)...ughh and what not...somewhere between them is a Woman's channel that actually helps you do some finite and positive work...☺

  • @nkazinchinda152
    @nkazinchinda152 9 ปีที่แล้ว +1

    Hi, I'm a sophomore who is going for valedicatorian, so I took the AP Calc BC Exam this year while taking the AP Calc AB class. I got a 5 on both portions, and if it wasn't for my six hour integralCALC youtube video marathon the weekend before the exam, I would have been lucky to get a four! Thank you so much!

  • @kristakingmath
    @kristakingmath  11 ปีที่แล้ว +2

    :D