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Math Help - Calculus Help

  1. #1
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    Calculus Help

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    Last edited by MathGuru; February 22nd 2006 at 02:49 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by frozenflames
    see attachment
    The usual trapezoidal approximation for a definite integral is:

    <br />
\int_a^b f(x)\ dx=\frac{h}{2} (y_0 + 2y_1+2y_2+...+2y_{n-1}+y_n)<br />

    but your data don't have a fixed tabulation interval so we need an alternate
    definition of the trapezoidal approximation, which is:

    <br />
\int_a^b f(x)\ dx=\sum_1^{n-1}\ (x_{i+1}-x_i)(f(x_{i+1})+f(x_i))/2<br />
,

    which in this case is:

    <br />
\int_a^b f(x)\ dx=3\times 20+2 \times 35 + 1 \times 30 = 160<br />

    RonL
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