AREA APPROXIMATION | TRAPEZOIDAL RULE |AREA BY INTEGRATION

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  • Опубликовано: 12 сен 2024
  • How to approximate the area by use of trapezoidal rule, integration and calculate the percentage error

Комментарии • 8

  • @davidwandavusi7542
    @davidwandavusi7542 19 дней назад +1

    Well explained,just a point,we need to sketch the curve to identify the limits, sometimes it's not direct kama kwa hii question,you may find out that maybe the curve occurs below and above the x axis

    • @KcseMathsTutorials
      @KcseMathsTutorials  18 дней назад

      Thanks..yes sketching is very important..it helps esp where an area lies below the x-axis

  • @culerslive7642
    @culerslive7642 13 дней назад +1

    sir i have a questioncan we first integrate first from -3 to 0 then 0-5 and then add the answer.I mostly wrong when integrating directly area under a curve. when should we do that

    • @KcseMathsTutorials
      @KcseMathsTutorials  13 дней назад +1

      Absolutely yes..that's the best approach and you will get an accurate answer. There are questions you will get wrong when you integrate directly. Begin with a simple sketch of the graph. When you notice some area lies on the negative side of the axis, do it in parts i.e the area on the negative axis then add the area on the positve axis

  • @ronnierollins7007
    @ronnierollins7007 21 день назад

    Thanks but about how we find the h ,,, is there another way ,,, coz it's unclear for mee😢

    • @KcseMathsTutorials
      @KcseMathsTutorials  21 день назад +1

      I dont think there is another way. Just know that when using 5 ordinates, you will need 4 intervals, 6 ordinates, you need 5 intervals and so on...
      h = interval(b -a) ÷ (ordinates - 1)

    • @DaudHassan-yz9pl
      @DaudHassan-yz9pl 16 дней назад

      I can seen confused in Question c to find the height we =x2-x1/ordinate

    • @DaudHassan-yz9pl
      @DaudHassan-yz9pl 16 дней назад

      Replying me how did your get height