Integration Core 4 Revision in 40 mins

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  • Опубліковано 30 лип 2024
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    Integration Core 4 Revision in 40 mins www.hegartymaths.com www.hegartymaths.com/

КОМЕНТАРІ • 215

  • @rosec5975
    @rosec5975 5 років тому +223

    bits that made me want to cry: 0:00 - 40:44

  • @TOBIOO
    @TOBIOO 5 років тому +105

    SHOUT OUT THE LAST MINUTE GANG! I see you 😣😣

    • @hi44098
      @hi44098 5 років тому +4

      Yah U know boii. I am so fucked

    • @jarvischan7845
      @jarvischan7845 5 років тому +1

      Here we gooooooo

    • @jry6432
      @jry6432 5 років тому +2

      😂😂🙏

    • @kenster133
      @kenster133 5 років тому +1

      On God😂

    • @hi44098
      @hi44098 5 років тому +2

      I died

  • @bushramanzoor9808
    @bushramanzoor9808 7 років тому +106

    My teacher taught us a way of deciding on the 'u' when doing integration by parts. Use the mnemonic u is "LATE":
    1. Logs
    2. Algebra (polynomials)
    3. Trigonometry
    4. Exponentials

    • @AdamBennett-ff7pe
      @AdamBennett-ff7pe 6 років тому +8

      Why on earth did nobody bother to tell me this.

    • @michaelwenger9543
      @michaelwenger9543 6 років тому

      What about Integrating e^xsinx. That involves make the exponential the “u” value

    • @babyface1132
      @babyface1132 6 років тому +1

      No it makes sinx the u value, as its trig

    • @michaelwenger9543
      @michaelwenger9543 6 років тому

      yeah, exactly and if you make sinx the u value you get the wrong answer, it only works if you make e^x the u value

    • @ferdoussarwar9768
      @ferdoussarwar9768 5 років тому +3

      My teacher taught the "LIATE" rule

  • @benteta
    @benteta 8 років тому +32

    Very Helpful video, great when revising for C4 chapter 6
    However at 25:10 there is a small error, it should have been negative (5/2)*ln(3-2x)

  • @asim1073
    @asim1073 6 років тому +30

    AT 33:47 Use *LATE* rule to select for *u*
    L - log - *highest priority*
    A - algebra
    T - trig
    E - exponential - *lowest priority*

    • @PandeyPrashant
      @PandeyPrashant 5 років тому +5

      or ILATE: Inverse functions, Logarithmic functions, Algebraic functions, Trigonometric functions, and Exponential functions.

  • @srikanthsrnvs123
    @srikanthsrnvs123 10 років тому +137

    at 25:00 how on earth did you get -5 and not +5 instead? shouldnt the answer be -5/2 ln(3-2X) ?

    • @BaconAniimal
      @BaconAniimal 9 років тому +12

      Yeah I think you're right

    • @Ben_747
      @Ben_747 7 років тому +1

      I think so..

    • @JdingleV3rr
      @JdingleV3rr 7 років тому +8

      srikanthsrnvs123 he made a mistake ..

    • @JdingleV3rr
      @JdingleV3rr 7 років тому +48

      srikanthsrnvs123 sorta like the one your parents made having you

    • @NIGHTMINER22
      @NIGHTMINER22 7 років тому +4

      du dum tss

  • @elliebarne2244
    @elliebarne2244 5 років тому +60

    Night before the exam, nice oneee

    • @byaraa1302
      @byaraa1302 5 років тому +9

      *cough* morning before the exam

    • @victorotene
      @victorotene 5 років тому

      Are you resitting?

    • @gmarie3053
      @gmarie3053 5 років тому +3

      5 hours until exam

    • @willlewis47
      @willlewis47 5 років тому +1

      G Marie 1 🤫

    • @RatedMelis
      @RatedMelis 5 років тому +3

      Like 40 mins left till I fuck up again

  • @coolredpen
    @coolredpen 9 років тому +24

    This was very helpful, from a students point of view, some parts (which you were obviously confident on) seemed to be very rushed, and I got a vibe of being left behind slightly, so I found myself rewinding now and again. But overall, definitely improved my confidence

  • @abbsterjonesy
    @abbsterjonesy 5 років тому +12

    best video I've seen on integration (even with the different spec we have now)

  • @georgieford1203
    @georgieford1203 9 років тому +1

    I am self teaching and this video was perfect. It clearly laid out all the techniques enabling me to develop a logical process for solving each problem style alongside how to recognise each type. Thank you! Keep making videos :D

  • @tashacraven
    @tashacraven 8 років тому +2

    Seriously this is such a life saver - have c4 tomorrow and was freaking out as I kept muddling my intergration techniques and It's my last chance to salvage maths XD This was an amazing refresher and exactly what I needed, so thank you!

  • @weebrahim
    @weebrahim 6 років тому +3

    No midroll ads? U are an 👼!
    Ty very much

  • @CoffeeAndChill
    @CoffeeAndChill 10 років тому +2

    Except for one or two sign errors, this is a great resource - thank you!! :) - such as 5/2 instead of -5/2 in the answer to 3rd natural logs question

  • @khadijaezaz8499
    @khadijaezaz8499 3 роки тому +1

    Watched this 3 hrs before exam. It was super helpful! Thanks!!!

  • @QWERTYUIOP18851885
    @QWERTYUIOP18851885 8 років тому +21

    25:30 you've put 1/3 instead of 1/2

  • @BexJLSLover
    @BexJLSLover 9 років тому

    This video was amazing - recapped everything so simply and so many examples to try out for myself as I went along! Thankyou so much :)

  • @QWERTYUIOP18851885
    @QWERTYUIOP18851885 8 років тому +19

    mistake at 24:45, you've taken -5 out as a factor instead of just 5

  • @henryblandford2642
    @henryblandford2642 4 роки тому

    Very helpful when starting university doing a maths based course after a year out, thank you!!

  • @monkeyboy179
    @monkeyboy179 8 років тому +1

    Loved this! Recommended it to my friends as well :)

  • @Mugetsuism
    @Mugetsuism 9 років тому +3

    Thanks a bunch! I was struggling with Integration and Differentiation on C4 so I really appreciate this video which clearly, and efficiently explains the whole chapter. :)

    • @HEGARTYMATHS
      @HEGARTYMATHS  9 років тому +1

      ***** Hiya Asfandyar - thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

    • @Mugetsuism
      @Mugetsuism 9 років тому +3

      Done :)
      I really appreciate the time you put into your videos, and the full chapter revision ones are especially helpful!

  • @annam566
    @annam566 10 років тому +1

    your efforts are appreciated, thank you!

  • @rudrasahai_
    @rudrasahai_ 10 років тому +26

    You sir, are a hero!
    Thank you so so much for the help :)

    • @HEGARTYMATHS
      @HEGARTYMATHS  9 років тому +2

      Rudra Sahai Hiya Rudra- thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

    • @rudrasahai_
      @rudrasahai_ 9 років тому +1

      HEGARTYMATHS Consider it done :)

    • @HEGARTYMATHS
      @HEGARTYMATHS  9 років тому +2

      Nice one Rudra

  • @bhavanrana1123
    @bhavanrana1123 7 років тому

    Thank you it really helped me than my actual teacher....I would want to see a definite Integration video too

  • @zoechen6394
    @zoechen6394 9 років тому

    thanks sooooo much! It is extremely useful!

  • @mohammadmunzurulhaque3197
    @mohammadmunzurulhaque3197 5 років тому +3

    at about 25:23 , you wrote (1/3) although you meant (1/2) .
    By the way, thank you very much for these invaluable guidance.

  • @iDutch5
    @iDutch5 8 років тому +37

    at 25:00 why did you take -5 out, wouldnt it just be 5?

    • @CarbonImpulse
      @CarbonImpulse 8 років тому +3

      +iDutch5 yeh wtf he says something and puts down something different an annotation would be good

    • @yazdanqafouri14
      @yazdanqafouri14 8 років тому +2

      +iDutch5 I was thinking this too! :P

    • @ferdoussarwar9768
      @ferdoussarwar9768 5 років тому

      It should be 5 , um visiting the comment section for this one to be sure 😂

    • @Benjimification
      @Benjimification 5 років тому

      Do u even lift tho?

  • @nooksirimar682
    @nooksirimar682 7 років тому

    Very helpful !!
    Thank you so much. 😆

  • @andreavassallo4628
    @andreavassallo4628 8 років тому +2

    I swear you're gonna save my life

  • @Annasapphirecoffee
    @Annasapphirecoffee 8 років тому +10

    Last minute revision- good luck everyone doing the exam today😊

  • @helintaha1849
    @helintaha1849 2 роки тому +1

    Amazing video thank you so much

  • @Caiser
    @Caiser 5 років тому +17

    who's out here revising the day before

  • @hafsahalasfar9029
    @hafsahalasfar9029 3 роки тому

    Thank you soooooo much..
    Words can't express😭😭😭😭
    Thank you thank you thank you
    The best video ever😭😭👍👍

  • @joshuariddellski
    @joshuariddellski 7 років тому +1

    at 28:00 for question C, could you not do this as a straight up log? as -x^2 differentiates to -2x, you could put a -1/x before the integral to undo making 2, -2x, then it will be -2xln(1-x^2) ?? If anyone else knows feel free to confirm or deny my answer

  • @IrisRiedel6
    @IrisRiedel6 7 років тому

    bless your soul for this video

  • @darkmoon3646
    @darkmoon3646 5 років тому +2

    Mr hegarty you are a legend 😭❤️❤️❤️❤️🌹

  • @MrVrockit
    @MrVrockit 9 років тому

    Thank you...so much....thank you..!

  • @alexandruanita2673
    @alexandruanita2673 6 років тому

    Thankyou, very good!

  • @whatocaho2
    @whatocaho2 7 років тому

    What is the function and requirement to take out certain numbers from certain polynomials? +HEGARTYMATHS

  • @srikanthsrnvs123
    @srikanthsrnvs123 10 років тому +31

    also at 25:32 shouldnt it be 1/2 and not 1/3?

    • @MrSausageFingerz
      @MrSausageFingerz 10 років тому

      I think so. Do you know where the cosx disappears to?

    • @MrSausageFingerz
      @MrSausageFingerz 10 років тому +1

      Oh wait never mind, I wasn't familiar with the inspection method.

    • @bubushhh
      @bubushhh 5 років тому +1

      might as well become a teacher

  • @eman.3735
    @eman.3735 5 років тому +7

    shoutout to REAL last minute gang

    • @brokebaby670
      @brokebaby670 5 років тому +4

      sigh

    • @kwabenag5189
      @kwabenag5189 5 років тому +1

      gets like that bro🤧

    • @bregobeats9049
      @bregobeats9049 5 років тому +2

      🤕🤧

    • @kwabenag5189
      @kwabenag5189 5 років тому

      @@bregobeats9049OMG!!! im such a fan of ur word, can u reply to i can show my friends?

  • @DiLLZGFX
    @DiLLZGFX 8 років тому

    I am going to donate after my exams ! This was sooo helpful

  • @zaraha6860
    @zaraha6860 5 років тому

    Thank you!

  • @user-jc6yw5hd9b
    @user-jc6yw5hd9b 7 років тому

    Hello . Iwant to ask ,can you tell me please the soft ware that you use to write on screnn?

  • @bubblegumprincess7660
    @bubblegumprincess7660 6 років тому +1

    21:55 where does the minus come from? -(2/5)

  • @kumarrohit966
    @kumarrohit966 2 роки тому

    Excellent learning

  • @mahnoorshafiq9927
    @mahnoorshafiq9927 3 роки тому

    Very nice video keep it up

  • @brianwahome5789
    @brianwahome5789 7 років тому +3

    25:50 ,Isnt the integral of sin -cos? And that 3 should be 2 right? Otherwise, excellent revision video. Best I've seen on UA-cam.

    • @shalzification
      @shalzification 4 роки тому

      1/3 should be 1/2 yes but you're not integrating sin to get the numerator you are differentiating it and so it is cos not -cos.

  • @zakerahrahman3447
    @zakerahrahman3447 6 років тому +10

    last minute revision 😣 exams in 6 hours

  • @jewizz5736
    @jewizz5736 6 років тому

    I love integwashon!

  • @hakimbrahimi1015
    @hakimbrahimi1015 4 роки тому

    Winderfoo recap, thank ye!

  • @joejohnston9217
    @joejohnston9217 4 роки тому

    anyone found any videos on integration of hyperbolics for further pure?

  • @jad9727
    @jad9727 5 років тому

    at 38:37, why do you take the positive square root of 5?

  • @GamingbyKevin
    @GamingbyKevin 8 років тому +5

    praise the lord, u are our saviour

    • @TheBlaze4000
      @TheBlaze4000 8 років тому +6

      Exam tomorrow!!!

    • @Swo6ix
      @Swo6ix 8 років тому +1

      i failed it after watching this video. got me too confused

    • @GamingbyKevin
      @GamingbyKevin 8 років тому +3

      Swo6ix xD dont blame him

  • @No.Mo.Framezz
    @No.Mo.Framezz 3 роки тому

    Can someone explain 25:10? I don't quite get how he immediately jumped from that answer to the next

  • @omart204
    @omart204 9 років тому +39

    I appreci8 the gr8 vid m8 I r8 str8 8/8.

  • @icontrolthespice
    @icontrolthespice 3 роки тому

    This man should be a saint

  • @ryan12321123
    @ryan12321123 11 років тому

    At the end do you not divide by 5 and 2?

  • @DrParstin
    @DrParstin 9 років тому

    THANK YOU THANK YOU THANK YOU

    • @HEGARTYMATHS
      @HEGARTYMATHS  9 років тому

      Parsa Lotfizadeh hiya Parsa - thanks loads for the message. Please take 30 secs to vote again (old votes don't count anymore) for me to help keep making videos for free for you and kids in the future. You could also win £10k so share with your family. Thanks so so much. Mr H : -) www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/

    • @DrParstin
      @DrParstin 9 років тому

      HEGARTYMATHS Done :)

  • @asmaangdembe8304
    @asmaangdembe8304 6 років тому

    THANK YOU

  • @Nishtas23
    @Nishtas23 6 років тому

    At 32.40 is it supposed to be 2/3 and not 3/2?

  • @snailgeorgie1880
    @snailgeorgie1880 8 років тому

    omg thank you wow

  • @kentmerritt97
    @kentmerritt97 2 роки тому

    17:03 the integral of sin2xcos2x dx
    is 1/4sin^2(2x) +C

    • @cjjk9142
      @cjjk9142 2 роки тому

      Got -1/8 cos (4x)
      You use
      Sin 2x = 2sin(x)cos(x)
      Sin 4x= 2sin(2x)cos(2x)
      1/2Sin(4x) = sin(2x)cos(2x)

  • @babyface1132
    @babyface1132 6 років тому +1

    at 30:00 u differentiated sin^3x, I thought we can't do that???? we can't differentiate sin^2x, we have to use double angle formula. Please explain, thanks

    • @joshdarwish5788
      @joshdarwish5788 6 років тому +2

      Let me try and help you...
      YES! You can differentiate those terms with powers
      let y=sin^3x
      y=(sinx)^3
      dy/dx=3(sinx)^2
      I think youre muddling what applies to integration and what applies to differentiation
      ...When trying to INTEGRATE a term like sin^2x, you MUST replace it with a trigonometric identity that can be integrated
      e.g. if y =sin^2x
      y= (1/2-1/2cos2x)
      and then intergrate because all linear terms can be intergrated
      ^that exampke there is worked through on page 93 of the bait textbook
      Hope you see this before tomorrow :D

  • @lukearmstrong9742
    @lukearmstrong9742 6 років тому

    Sir, I thought there was a double angle for tan?

  • @jakeperry1650
    @jakeperry1650 11 років тому

    at 24:35 why did you take out -5 and not +5??

  • @rafvissersraf
    @rafvissersraf 4 роки тому

    38:40 why take only the positive one?

  • @theteacake
    @theteacake 11 років тому

    at 25:29 you made a small mistake, it's 1/2 ln ..... not 1/3 ln ......
    but many thanks! the video was a massive help!!

  • @MalenkayaPrintsessa
    @MalenkayaPrintsessa 10 років тому +2

    Cannot say thank you enough!!!!!!!!!!!!!!!!!!!!!

    • @HEGARTYMATHS
      @HEGARTYMATHS  10 років тому +2

      Really happy to help and I'm sure you will find the new website www.hegartymaths.com/ helpful. Best wishes. Mr H

    • @HEGARTYMATHS
      @HEGARTYMATHS  9 років тому

      Maz M Hiya Maz- thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

    • @MalenkayaPrintsessa
      @MalenkayaPrintsessa 9 років тому

      Already did it yesterday! Wishing you the best of luck!

  • @malikalsaeedi59
    @malikalsaeedi59 7 років тому

    thanx

  • @zariyanoor5699
    @zariyanoor5699 6 років тому

    20:37

  • @user-di3es1hs9t
    @user-di3es1hs9t 6 років тому

    best of luck guys

  • @devanggupta9007
    @devanggupta9007 Рік тому

    at 25:25 he wrote 1/3 while saying 'half'. its a mistake he meant half [1/2]

  • @MuhammadAli-wn6ek
    @MuhammadAli-wn6ek 4 роки тому

    is this for AS and A2 or just A2?

  • @gabrielalexander2735
    @gabrielalexander2735 7 років тому

    btw the IBP of x^2ln(x) isn't correct. you multiplied u'v instead of uv'.

  • @itsbeth6496
    @itsbeth6496 5 років тому

    8:14 I'm not sure the second one is right

  • @rosec5975
    @rosec5975 5 років тому +3

    only doing c4 this year and i still feel like i need to revise c1-3 cos i dont know the 'basics' lol

    • @Vvs607
      @Vvs607 5 років тому

      Is c4 further maths ?

  • @pumpkinpie0001
    @pumpkinpie0001 2 роки тому

    watching this because i always make mistakes when finding the area of curve in polar coordinates questions.... hahaha

  • @libanh5367
    @libanh5367 6 років тому

    At 32:04 why did he add 1 to a half?

  • @mincraftpe2951
    @mincraftpe2951 2 роки тому +1

    I think it is 5 not -5 in 24:38

  • @devanggupta9007
    @devanggupta9007 Рік тому

    now do one for differentiation

  • @TishyTasha12
    @TishyTasha12 8 років тому

    8:07 whats this method?🤔

    • @keiranforster1989
      @keiranforster1989 8 років тому +1

      He's just taking the denominator out of the function as it's a constant and integrating via the reverse chain rule

  • @amrikov1085
    @amrikov1085 3 роки тому +1

    you have got a mistake at time 24:37
    number -5 must be (5)

  • @aishwarysaxena976
    @aishwarysaxena976 6 років тому

    25:00 what I do during exam.

  • @alicegilchrist-miller3034
    @alicegilchrist-miller3034 5 років тому

    I love you

  • @rxfay9544
    @rxfay9544 4 роки тому +2

    i wonder what he's doing right now during the year 2020

  • @kittyverse4980
    @kittyverse4980 4 роки тому

    So mocks tomorrow 😫

  • @rohmabasharat1450
    @rohmabasharat1450 7 років тому +1

    2 hours left for C4; barely done any revision, was aiming for an A but God knows now..good luck everyone x

  • @vidooshvarun3145
    @vidooshvarun3145 3 роки тому

    Integration by parts 3rd question is done incorrectly

  • @thutrinh6446
    @thutrinh6446 5 років тому +1

    edexcel c34 today anyone?

  • @ramroom619
    @ramroom619 8 років тому

    At about 25:10 , isn't the integral of 2sinx = -2cosx ? I apologize if i'm wrong but i think you forgot the negative sign . On another note , thanks a lot for this video and all of the other videos you uploaded . I'm sure that thousands of students have benefited and continue to benefit form them . Thank you to everyone who helped with the video whether it was regarding the info or editing . I am grateful .

    • @AlchemistOfNirnroot
      @AlchemistOfNirnroot 8 років тому

      +Ramroom You're right.

    • @themega11
      @themega11 8 років тому +1

      he's saying derivative of 2sinx = 2cosx which is correct

  • @sooodarncrazy4817
    @sooodarncrazy4817 5 років тому

    C34 tomorrow

  • @sammymendis475
    @sammymendis475 5 років тому

    A LEVELS IN 24 HOURS!!

  • @CancerousBlueberry
    @CancerousBlueberry 5 років тому

    40 minutes left before math exam and.... Cat videos

  • @James-rp9cz
    @James-rp9cz 7 років тому +20

    who's got C4 tomorrow?

    • @baileyrox121
      @baileyrox121 7 років тому

      DA BOOMY FINGY can't wait👌👌 good luck man

    • @ithinktheskyisblue32
      @ithinktheskyisblue32 7 років тому

      I'm so not ready for this lool rip maths

    • @jeremydias4722
      @jeremydias4722 6 років тому +2

      mmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee,pls help

    • @TheVexified
      @TheVexified 6 років тому +2

      We have all of tomorrow to do some past papers.

    • @selinsahinoglu975
      @selinsahinoglu975 6 років тому +9

      Me lol im trying to learn c4 in a day

  • @ahmedismail6916
    @ahmedismail6916 5 років тому

    Watch at 1.5x and thank me.

  • @ChowdhuryTwins
    @ChowdhuryTwins 3 роки тому

    Who is here revising the month before?

  • @charlterri6201
    @charlterri6201 6 років тому +2

    Lol who’s here for core 4 today

    • @StickManVS
      @StickManVS 6 років тому +1

      Charlotte Ost it's literally last minute revision at this point, might be screwed ._.

  • @LaithzProducctionz
    @LaithzProducctionz 7 років тому

    you guys making a big deal about the mistake, it can be common to make a small error like that especially if he is trying to cover the entire Integration Chapter of C4 in 45 Mins. Its not impossible for that to happen. Really good video, however you should try cover the Harder Trig Function types as they are quite common and quite difficult to deal with also Partial Fractions that include trig Functions will be a good idea as well. Great Video Though. Last Min revision

  • @a.babraham7650
    @a.babraham7650 4 роки тому +1

    Too much mistakes

  • @QWERTYUIOP18851885
    @QWERTYUIOP18851885 8 років тому

    2 mistakes in 1 minute SMH

    • @TheBlaze4000
      @TheBlaze4000 8 років тому +13

      Way to be appreciative. Ungrateful idiot.