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Math Help - trapezoidal rule

  1. #1
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    trapezoidal rule

    if the definite integral \int_1^3 (x^2+1) dx is approximated by using the trapezoid rule with n=4, the error is?
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    Quote Originally Posted by yoman360 View Post
    if the definite integral \int_1^3 (x^2+1) dx is approximated by using the trapezoid rule with n=4, the error is?
    Do you know how to use the trapzoid rule?

    I would find the trapezoid rule approximation. Then I would evaluate the definite integral. The error would be the difference.
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    Quote Originally Posted by ione View Post
    Do you know how to use the trapzoid rule?

    I would find the trapezoid rule approximation. Then I would evaluate the definite integral. The error would be the difference.
    using trapezoidal rule i got 43/3

    using integral i got 32/3

    subtract them and o get error=1/12

    Correct?
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    Quote Originally Posted by yoman360 View Post
    using trapezoidal rule i got 43/3

    using integral i got 32/3

    subtract them and o get error=1/12

    Correct?
    I got 43/4 using the trapezoidal rule and an error of 1/12
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  5. #5
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    Quote Originally Posted by yoman360 View Post
    if the definite integral \int_1^3 (x^2+1) dx is approximated by using the trapezoid rule with n=4, the error is?
    Your textbook or classnotes will have a formula for the size of the maximum error. Please post it and then say what part of it you're having trouble with.

    Quote Originally Posted by ione View Post
    Do you know how to use the trapzoid rule?

    I would find the trapezoid rule approximation. Then I would evaluate the definite integral. The error would be the difference.
    The whole point of the trapezoidal rule is to compute definite integrals numerically and to know what the maximum error is in the result for a given value of n.
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  6. #6
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    Quote Originally Posted by ione View Post
    I got 43/4 using the trapezoidal rule and an error of 1/12
    oops i made a typo in my last post. i also got 43/4 using trapezoidal rule
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