Finding Areas Between Curves

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  • Опубликовано: 7 авг 2024
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Finding Areas Between Curves - Two Examples! For more free math videos, visit PatrickJMT.com

Комментарии • 455

  • @fuzzygreen3634
    @fuzzygreen3634 9 лет назад +578

    its a great feeling to go from having no clue whats going on in your class to having a solid understanding in under 10 minutes

    • @ninako7367
      @ninako7367 9 лет назад +8

      The same feeling all the time🙇

    • @manshisinha7953
      @manshisinha7953 5 лет назад

      Ikr

    • @arulgk9673
      @arulgk9673 5 лет назад

      Late response, but it is TRUE

    • @mr.noname6109
      @mr.noname6109 4 года назад

      You understood it here because you had studied it earlier in the class.

    • @Sndbest
      @Sndbest 4 года назад

      Ya,exhilirtaing experience.
      On top of all confidence and interest get regained!

  • @timhally869
    @timhally869 8 лет назад +170

    Now a freshman in college, I have been using these videos to save my ass from failing since 10th grade in high sccool. Thank you sir for 4 years of being the teacher behind the scene that is the reason I pass every math class

    • @mikes2fast
      @mikes2fast 3 года назад +7

      Did you end up graduating?

  • @ninegames4568
    @ninegames4568 4 года назад +19

    No one:
    Every teacher: Sorry for my drawing, I'm not an artist.

    • @patrickjmt
      @patrickjmt  4 года назад +6

      i definitely had people make fun of my drawings in class.

    • @ninegames4568
      @ninegames4568 4 года назад +2

      @@patrickjmt lol, you actually response to me

  • @MusicDJz1
    @MusicDJz1 10 лет назад +293

    I feel bad because you are awesome, helpful, and I want to donate tons of money to you, but I'm the typical "broke college student" :(

  • @PYXyooj
    @PYXyooj 9 лет назад +4

    You are seriously a life saver! I did not understand this area stuff, until I watch your videos!

  • @xsampsakx
    @xsampsakx 10 лет назад +4

    I just finally have to thank you. You have really helped me to get my engineer diploma, what can I say, but THANK YOU! Great work! Greetings from Finland!

  • @AznPandaFTW
    @AznPandaFTW 10 лет назад +50

    Thanks for telling us the part about it being negative so we got the functions flipped.

    • @Napoleon4778
      @Napoleon4778 10 лет назад +5

      whatever's the answer, just apply the modulus |-x|... ! :))

    • @Specnutz
      @Specnutz 9 лет назад +1

      Napoleon4778 you know it.

  • @jisookim1606
    @jisookim1606 9 лет назад +3

    im reviewing for ap and i just can't thank you enough right now!
    you're probably the most helpful guy on youtube :)

  • @Billy193
    @Billy193 9 лет назад +3

    great help! My math teacher actually tells the whole class to watch some of ur videos before lecture so we get a grasp on the math concept before lecture.

  • @judytramvu
    @judytramvu 10 лет назад +5

    You are AMAZING. I was so incredibly lost in class. My LORD, I thank you. What a blessing.

  • @carolinerinny2877
    @carolinerinny2877 11 лет назад +1

    Thank you so much for making these videos! They are so helpful, I honestly could have learned our entire curriculum in a few weeks by watching your vids.

  • @austinsears7879
    @austinsears7879 7 лет назад

    Why does this seem so simple now but hours of learning/studying make it seem so hard? Thank you so much for putting your videos up, they help A LOT.

  • @Yupyoubetcha
    @Yupyoubetcha 14 лет назад

    Patrick you're the best man, I have such a hard time getting everything in class and watching your videos just makes sense of everything. You're essentially my math teacher!

  • @blade51192x
    @blade51192x 14 лет назад

    all i can say is thank you for continuing to put these videos up. They are a real help.

  • @SuperJAlfa
    @SuperJAlfa 11 лет назад +1

    Dude even my Calculus teacher gives my class your links, that's how effective you are!

  • @ninado397
    @ninado397 10 лет назад +3

    Thank you! You are the best! So helpful

  • @ImTheBowser
    @ImTheBowser 11 лет назад

    I honestly love you, I so appreciate these lessons. I didn't understand this at all from lectures and now I do. Thank You!

  • @morganholm449
    @morganholm449 9 лет назад +13

    back again for calc 2 -___- thanks dude

  • @elli_onearth
    @elli_onearth 5 лет назад +1

    Studying right now for my test in Calculus which will start after 40 minutes. Gosh. Thank u so much!

  • @fadsmfawopefaw
    @fadsmfawopefaw 10 лет назад +27

    You're the best!

  • @patrickjmt
    @patrickjmt  11 лет назад +7

    tell your teacher ' thanks! ' (from me) for recommending my videos

  • @spitforge8963
    @spitforge8963 6 лет назад +1

    you make it seem so simple. God bless you!!!

  • @graciegrace6114
    @graciegrace6114 10 лет назад

    Oh my goodness! Thank you so much! I had no idea what my teacher was doing in class, and now it makes sense!

  • @jasmineheadlam4629
    @jasmineheadlam4629 11 лет назад

    Your tutorials are great! Thanks a million :)

  • @joycezhang3612
    @joycezhang3612 8 лет назад

    Thank you so much. Your videos are so clear!!!!

  • @mariamA240
    @mariamA240 12 лет назад

    you are the best person in the world it must feel good helping people i just spend 1 hour on this exact question that u did in the video and i was about to give up until u realized i knew you and how great u are thanks man :)

  • @johnvicdulatre5317
    @johnvicdulatre5317 4 года назад

    PatrickJMT's examples and explanations are really helpful

  • @lienaejer017
    @lienaejer017 13 лет назад +1

    ! Im a mechanical engineering student and now im done in integral / differential calculus with a big help of this man, .you are my best teacher. i aced in our class with the help of this..my grades are very good because of this..thank you very much and keep up the good work!..i will start studying differential equations with this videos this vacation..THANK YOU
    I SURVIVED WITHOUT BUYING EXPENSIVE BOOKS BECAUSE OF THIS! GOD BLESS
    03-26-11

    • @mikes2fast
      @mikes2fast 3 года назад +1

      10 years later, how is everything going? Was mechanical engineering the right path?

  • @elliotsavarese
    @elliotsavarese 10 лет назад

    Exactly what i was looking for right at the start. Bravo

  • @MrFarkasOfficial
    @MrFarkasOfficial 13 лет назад

    oh man whenever i'm in a mathematical doubt i always look for Patrick on the list of youtube vids :) you're a hero, mate, just reminding you ;)

  • @karlracaza7451
    @karlracaza7451 3 года назад

    The best video ive toggled so far, thanks mayt!

  • @mkivdubbin
    @mkivdubbin 11 лет назад

    you have helped me so much in Calc I and II. Thank You!!

  • @butson89
    @butson89 15 лет назад

    for real, bro.
    i left that comment this morning cuz i was about to leave for a calculus exam, and i was stressing out, but your videos are such a big help when it comes to studying.
    Thanks for helping me kick butt today!

    • @Alex-ev5mm
      @Alex-ev5mm 6 лет назад +1

      What grade did you get?

  • @jessi9375
    @jessi9375 9 лет назад +7

    Yay! I get it now, thanks!

  • @amyanislag9186
    @amyanislag9186 6 лет назад

    Thank you for the vid!!! HOPE YOU MAKE MORE

  • @mayjandubi1662
    @mayjandubi1662 7 лет назад +2

    this is excellent.
    i have finally excelled in maths .Thank you

  • @faisalsaleem21
    @faisalsaleem21 8 лет назад

    Wasn't feeling well today. I thought I would watch your video and learn about areas between curves. Got the math mojo going, and feeling better now. Studying for my FET exam.

  • @Milton21690
    @Milton21690 13 лет назад

    You are awesome! me n my friends are watching this all the way from Costa Rica! thanks, pura vida!!

  • @tgoace
    @tgoace 11 лет назад +1

    Wasn't most of this symmetric? Couldn't you just double the integration of one of the small areas and doubled half of the stuff in the middle?
    For example, integrate the small piece on the right from 2 to 3, and double it. Integrate the positive side of the middle from 0 to 2, and double it. Sum those two results up and that's it?

  • @redsoxandpats
    @redsoxandpats 15 лет назад

    thanks man...Helped a lot!!

  • @crastatter86
    @crastatter86 11 лет назад

    My calculus teacher actually sends us links to your videos to help us understand the work better if she can't explain it in a way we understand. You are a god-send for us mathematically challenged! Thanks!!

  • @JoseRodriguez-rm4vw
    @JoseRodriguez-rm4vw 4 года назад

    Crazy helpful. Thank you.

  • @zanehawkins3457
    @zanehawkins3457 Год назад

    I'm a big fan of Khan Academy, but what I find is that when I come to your videos, I walk away with a good understanding in under 10 minutes> Very well-done explanation! Thank you!

  • @danachakra9912
    @danachakra9912 5 лет назад

    This helped so much! Thank you

  • @pepekong
    @pepekong 12 лет назад

    The other day my calculus teacher said "Hey, youtube is a good source for looking at how to solve problems" I was about to say, yeah, there is this Patrick guy who... And before I could speak he said, search for patrickJMT. It was cool.

  • @mishad2007
    @mishad2007 14 лет назад

    Thank you soo much! Your explanations are the best, helps me a lot xDDD

  • @a_rabiatulhusnabintijamalu2677
    @a_rabiatulhusnabintijamalu2677 4 года назад

    THANK YOU SO MUCHHHH,THIS IS SO HELPFUL!!

  • @ab-cm2ic
    @ab-cm2ic Год назад

    Never thought a 14 year old video could halp me so much. Thanks man, means a lot to me

  • @patrickjmt
    @patrickjmt  13 лет назад +1

    @tijuanamarisol666 yep, my mistake! : )

  • @thabolesleyramokgothwane6318
    @thabolesleyramokgothwane6318 11 лет назад

    your tutorials are fantastic boss,,thnx a lot!!!!

  • @tahmidbhuiyan5591
    @tahmidbhuiyan5591 3 года назад

    straight, to the point. wish every math class was like this

  • @LiveGoodPhilippines888
    @LiveGoodPhilippines888 5 лет назад

    Thank u so much sir you're really the very first one whom the explanation i have understood very well.

  • @Armand0008
    @Armand0008 12 лет назад

    Thank you sooo much. Now I can download these videos and learn :D

  • @mattg1987
    @mattg1987 5 лет назад

    Man this really helped me understand this. Thanks

  • @patrickjmt
    @patrickjmt  14 лет назад

    @arsenic222 if you do this, you will not get a negative value, regardless of whether the functions are above or below the x axis.

  • @TheCoolman5500
    @TheCoolman5500 12 лет назад

    waaaw fantastic thank you very much
    the video is little bit but the next generation will get benefit from you
    thank you again
    i wish you full of success

  • @harmoniousfist9419
    @harmoniousfist9419 8 лет назад

    Thanks. Helped alot

  • @veraharen
    @veraharen 2 года назад

    Really helpful, thanks.

  • @patrickjmt
    @patrickjmt  13 лет назад

    @HappyBuddhazz99 set them equal, find points of intersection. take points in between each of the points of intersection, plug them into each function and see which one gives you the larger y value; that is the bigger function.

  • @arizonacardinals94
    @arizonacardinals94 13 лет назад

    Thank u so much, u are way better than my math teacher at school

  • @Parisx1000
    @Parisx1000 13 лет назад

    I Love your videos !!
    Im a student from england, so ur teaching methods are totally different from what we're taught. Its very interesting !!
    I'm learning alot.
    I love americans

  • @kenmarasigan02
    @kenmarasigan02 6 лет назад

    Damn watching your tutorial makes it easier to understand! Thank you somuch!

  • @semperfidelis2322
    @semperfidelis2322 10 лет назад

    My calc teacher isnt bad, but i like watching your videos ahead of time to better my understanding, and you are just awesome at teaching

  • @amnahassan9647
    @amnahassan9647 9 лет назад +73

    I have a test after 3 houres .. i wish i found ur video sooner
    Wish me luck

  • @danielkim5477
    @danielkim5477 11 лет назад +1

    where did you get x=3 and x=-3?, i know u said you have to find those pieces but how did you know it was 3 and -3?

  • @pengyouyoufang4184
    @pengyouyoufang4184 5 лет назад

    Thank you so much it helps me a lot

  • @tron433
    @tron433 4 года назад +12

    I come from 2020. I'm watching a video 11 years ago to learn calculus

  • @timephonic
    @timephonic 13 лет назад

    Sir Patrick you rock !

  • @teezo3afana
    @teezo3afana 11 лет назад

    thanks you're better than any teacher i know

  • @albertolinguini
    @albertolinguini 11 лет назад

    Not the best artist in the world, but possibly the best Math teacher.

  • @patrickjmt
    @patrickjmt  15 лет назад +5

    no problem, hope the test went well! : )

  • @jrmcc173
    @jrmcc173 5 лет назад

    Well you just saved me from part of my calculus quiz tomorrow. Thank you for existing.

  • @patrickjmt
    @patrickjmt  12 лет назад

    @solidiquis1 bart simpson is also left handed, if you notice

  • @mandisamkhize4475
    @mandisamkhize4475 9 лет назад +2

    Patrick, Patric, Patrick.... #speechless if only you were my lecture

  • @noeliag.8545
    @noeliag.8545 10 лет назад +1

    Thank You so much!!

  • @Arina-qw3pu
    @Arina-qw3pu 8 лет назад +8

    math final is coming, thank you so much!

  • @MrBlueprint474
    @MrBlueprint474 11 лет назад

    your videos are the best

  • @refath522
    @refath522 11 лет назад

    My AP CALCULUS AB EXAM is tomorrow and your videos are really helpful and I thank you for that

  • @alyssiabuckle3028
    @alyssiabuckle3028 11 лет назад

    This is great, but i suggest in case you found it difficult to graph those functions, simply subtract them the way you want but put them between absolute values! Thank you Patrick, youre a life saver!

  • @omertahagulberk4679
    @omertahagulberk4679 7 лет назад

    I can not reach your website. There is a problem that the requested URL was rejected. What should i do ?

  • @ian559fresno
    @ian559fresno 12 лет назад

    Great video Patrick... I have a quick question...if we mix up y1 and y2 will the answer just be negative and all we have to do is multiply it by -1 to get the real answer? Thanks so much

  • @BlackDragon-hc3qm
    @BlackDragon-hc3qm 5 лет назад

    Sir you are Awesome!

  • @iamTaToshKa
    @iamTaToshKa 12 лет назад

    Thank you! Thank you! You're amazing!!!

  • @cesarrulez2
    @cesarrulez2 7 лет назад

    Thanks to you, calc 2 is so much clear

  • @hkaur903
    @hkaur903 12 лет назад

    I have a final in 30 minutes, and you just saved my grade!!! Thank You So Much!!!

  • @ilovemusic24ful
    @ilovemusic24ful 11 лет назад

    I wish you had an example using trig functions. Either way, you rock. Thanks again!

  • @archiehyuga8263
    @archiehyuga8263 7 лет назад

    HELPED A LOT!!!

  • @chymoney1
    @chymoney1 5 лет назад

    this video has 700k views jesus christ. patrick jmt deadass the GOAT.

  • @HappyBuddhazz99
    @HappyBuddhazz99 13 лет назад

    @patrickJMT Thank you sooo much for the quick response, I have a test tomorrow. Your videos are extremely helpful, again thanks.

  • @patrickjmt
    @patrickjmt  14 лет назад

    @Theheartzofmen to me, the easiest thing to do is to find points of intersection, take a point in-between, plug into each, and find the largest

  • @sheharyarakbar3447
    @sheharyarakbar3447 5 лет назад

    thanks sir.. u r amazing..but if you use any type of board instead of pages , i think it will makes us more easy to understand the lectures

  • @bzboii
    @bzboii 8 лет назад +15

    is the answer to the last problem 160/3?
    EDIT: used a curve calc online and it seems to be 92/3....
    EDIT EDIT: whoops found my problem! Now i got it!

  • @matthewsanchez3748
    @matthewsanchez3748 11 лет назад

    Your the man Patrick, I wish you were my math professor lol. I would recommend using a higher degree of difficulty with examples you pick, just a recommendation to consider.

  • @nosphethomahlobo3060
    @nosphethomahlobo3060 5 лет назад

    😂the stick figures in the beginning🤣....
    Anyway thank you so much for this. You made it so simple. Also congrats on 1M

  • @brco2003
    @brco2003 16 лет назад

    Great videos. You should do a problem where you need to find the area when the functions stretch above and below the x-axis. Here, you need to set up separate integrals.

  • @fiverabbits9049
    @fiverabbits9049 4 года назад

    Since the Coronavirus hit everywhere, and basically every damn highschooler is doomed to online school, your video *really* helped me. Thank you so much! It's unbelievable how our supposed ministry hired someone and paid him money to tutor us online but I still didn't understand anything from him. I hope I find someone as good as you in Chemistry and Physics too...

    • @patrickjmt
      @patrickjmt  4 года назад

      views are way down unfortunately :(
      glad i could help!
      i have a few physics videos. check out 'tyler dewitt' for chemistry!

  • @SchoolAndUniversity
    @SchoolAndUniversity 11 лет назад

    thanx learned a lot from this

  • @shinybluestar95
    @shinybluestar95 11 лет назад

    you have honestly just saved me from failing my test. thank you sooo much!!!

  • @manshisinha7953
    @manshisinha7953 6 лет назад +2

    Oh my god..
    thank u so much. I got this !

  • @tomtomtom6924
    @tomtomtom6924 12 лет назад

    i just learned more in ten min than i did in an hour of lecture. thanks man