An Introduction to Integration

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  • Опубліковано 15 лис 2016
  • A Level Maths revision tutorial video.
    For the full list of videos and more revision resources visit www.mathsgenie.co.uk.

КОМЕНТАРІ • 27

  • @ekramehsas6948
    @ekramehsas6948 7 років тому +22

    2 and a half * 4 is 10 dude

  • @rosette_renah
    @rosette_renah 3 роки тому +1

    This is indeed an introduction. Thanks

  • @vascobishop732
    @vascobishop732 2 роки тому

    Fantastic. 12.06 we are human and it's all part if it. More more please keep me updated with your brilliant teaching.

  • @tanyalouisehill2522
    @tanyalouisehill2522 7 років тому +1

    These videos help me so much thank you!!!!!!!!!!!!

  • @water2242
    @water2242 3 роки тому

    Like the way you simplify it 👍👍

  • @RAW2404
    @RAW2404 4 роки тому +1

    your videos are helpful

  • @RYANFERNS19
    @RYANFERNS19 5 років тому

    Thank you.

  • @dimitrismerena8957
    @dimitrismerena8957 4 роки тому

    Great video

  • @astrophyz9899
    @astrophyz9899 4 роки тому +6

    for the first longer written question the answer should be x^3 + 5/2x^2 +10x - 35 :)

    • @yusufdadkhah7561
      @yusufdadkhah7561 3 роки тому

      no it doesn't equal x^3 + 5/2x^2 +10x - 35 in differentiating or integrating. the rules of differentiating are:
      add 1 to the power
      divide 1 by the new power
      put +c after
      when we differentiate 2x^3+9x^2+5x+2 we get 6x^2+18+5
      so for 2x^3 we would add 1 to the power 3 and get the new power 4, then we divide it by 4, and then for 9^2 we add the 1 to the power of 2 and get the new power 3 and then we divide it by 3 and for 5x there is no power, so I cannot add 1 to the power that is not there by 5x and the same goes for 2 so 2x^3+9x^2+5x+2= 6x^2+18+5 in differential equations.
      The rules of integrating are:
      multiply by the power
      subtract 1 from the power
      when we integrate 2x^3+9x^2+5x+2 we get 6x^2+18x+5
      so for 2x^3 we do 2*3=6 and then we subtract the 3 from the ^3 to get^2 then we get 6x^2 and for 9x^2 we times 9 by 2 which is 18 and subtract the power 2 by 1 and the power 1 makes no difference after putting after 18 since it means times by 1 so there is no point adding it after 18. for 5x+2 1'5 is 5 and when we subtract x from 5x by 1 we are doing 5x^1-1=5x which gives us the value 5 and for 1 there is no power to times by and there is no power to subtract by therefore we cannot differentiate that. 2x^3+9x^2+5x+2= 6x^2+18x+5

    • @astrophyz9899
      @astrophyz9899 3 роки тому

      @@yusufdadkhah7561 I meant for the first long question, where they worked out 5/2(2)^2 = 6, when it is 10, thus making C equal to -35 instead

    • @mreclipse3537
      @mreclipse3537 2 роки тому

      @@astrophyz9899 I agree. That's what I got 2.5 x4 =10 no the 6 mentioned

  • @siyakhanzimande4817
    @siyakhanzimande4817 2 роки тому

    Thank you

  • @MichelleGeorgia-nv8sk
    @MichelleGeorgia-nv8sk Місяць тому

    Is it necessary we add +c to the integration and can we add any letter other than c hope you understand what I'm trying to say please

  • @edwinchiboko3737
    @edwinchiboko3737 5 років тому +2

    5/2 X 4 is 10 bro

  • @danielbritcher48
    @danielbritcher48 7 років тому

    SIR!!!!!!!!!!!

  • @sarahperera4717
    @sarahperera4717 4 роки тому +5

    The answer at the 12.25 minute must be -35 right?

    • @Felix-is3sk
      @Felix-is3sk 3 роки тому +1

      yes

    • @rosette_renah
      @rosette_renah 3 роки тому +1

      Exactly

    • @yusufdadkhah7561
      @yusufdadkhah7561 3 роки тому

      @@rosette_renah @Ffk @sarah perera no c is -31 3=34+c -34 on both sides means 3-34=c where 3-34=-31 the reason 3-34=31 is because you are going back on the number line by 34 steps which lands on step -34.

  • @andrewvest7540
    @andrewvest7540 3 роки тому

    Good video I like your vids, but around about 12minutes you made a mistake with the 2 squared. I think C is 19.

    • @yusufdadkhah7561
      @yusufdadkhah7561 3 роки тому

      @andrew vest
      c is -31, there is only 1 mistake at 12:08. 2.5 × 2 × 1.5 =7.5, 7.5^2=56.25. so he should have done 3=8+56.25+20+c instead.

  • @TomAustinIII
    @TomAustinIII 3 роки тому

    There are a few errors here...

  • @lethalkid6213
    @lethalkid6213 4 роки тому +1

    2.5*4 is 10. Great video tho.

  • @lusemichelo677
    @lusemichelo677 6 років тому

    bro 2.5 *4...come on bro