Trapezium rule

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  1. ilovemath's Avatar
    1 20-06-2012  17:52
    • Benevolent Member
    • Posts: 730
    Trapezium rule
    by drawing a graph can someone please explain why increasing the number of ordinates increases the accuracy of the answer for trapezium rule

    thanks
  2. TenOfThem's Avatar
    2 20-06-2012  18:01
    • TSR Royalty
    Re: Trapezium rule
    When you increase the number of trapezia the slanting line gets closer to the curve

    Draw a graph with one trapezium ... way under (or over the curve) right?

    Now draw 4 or 5 trapezia ... clearly each one is closer to the curve so the area is closer to the correct answer
  3. ilovemath's Avatar
    3 20-06-2012  18:47
    • Benevolent Member
    • Posts: 730
    Re: Trapezium rule
    (Original post by TenOfThem)
    When you increase the number of trapezia the slanting line gets closer to the curve

    Draw a graph with one trapezium ... way under (or over the curve) right?

    Now draw 4 or 5 trapezia ... clearly each one is closer to the curve so the area is closer to the correct answer
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