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Math Help - Trapezoidal Rule

  1. #1
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    Trapezoidal Rule

    The exact value of  \int_{0}^{3 \pi} \sin x \ dx = 2 . How large must  n be for the Trapezoidal approximation  T_n to satisfy  |E_T| \leq (2-S_n) ?
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  2. #2
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    Quote Originally Posted by shilz222 View Post
    The exact value of  \int_{0}^{3 \pi} \sin x \ dx = 2 . How large must  n be for the Trapezoidal approximation  T_n to satisfy  |E_T| \leq (2-S_n) ?
    Do you have a formula for the bound on the error in using the trapezoidal rule?

    Something like:

    <br />
| \varepsilon | \le \frac{1}{2} h^2 (3 \pi) \{ \max_{x \in [0, 3\pi]} \sin(x) \}<br />

    in this case

    RonL
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