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Math Help - Trapezium rule

  1. #1
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    Trapezium rule

    Hi all,
    I am currently studying the trapezium rule in Integration.
    Can you tell when when the question asks for "an approximate" value of the integral-how many decimal places is appropriate?
    thanks
    John
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  2. #2
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    Re: Trapezium rule

    Quote Originally Posted by celtic1234 View Post
    Hi all,
    I am currently studying the trapezium rule in Integration.
    Can you tell when when the question asks for "an approximate" value of the integral-how many decimal places is appropriate?
    thanks
    John
    When a question says "approximate value" it usually means there is no analytical solution so a numerical approach is needed of which the trapezium rule is one such approach. Since you're only using numbers instead of letters you can never get the exact value.

    It's the same principle to why 3.1415926535 8979323846 2643383279 5028841971 is only an approximation of \pi


    For your question 3 significant figures or 2 decimal places should be fine but really you're meant to round to your least accurate number in working (ie: 4 is only 1sf) but your teacher will usually tell you what they expect in rounding accuracy.
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  3. #3
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    Re: Trapezium rule

    thanks very much!
    John
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