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Math Help - Simpson Rule Question

  1. #1
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    Simpson Rule Question

    Hi

    Can someone tell me if this is correct:

    Use Simpson's Rule with 10 subintervals to evaluate:
    \int_{0}^{1} \frac{x}{x+2}

    This is what i have done:

    \int_{0}^{1} \frac{x}{x+2} = \frac{1}{30}[\frac{4}{21} + \frac{2}{11} +\frac{3}{23}+\frac{1}{6}+\frac{1}{5}+\frac{6}{13}  +\frac{28}{27}+\frac{4}{7}+\frac{36}{29}+\frac{2}{  3}]

    \int_{0}^{1} \frac{x}{x+2} = 6.0054
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  2. #2
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    Quote Originally Posted by Paymemoney View Post
    Hi

    Can someone tell me if this is correct:

    Use Simpson's Rule with 10 subintervals to evaluate:
    \int_{0}^{1} \frac{x}{x+2}

    This is what i have done:

    \int_{0}^{1} \frac{x}{x+2} = \frac{1}{30}[\frac{4}{21} + \frac{2}{11} +\frac{3}{23}+\frac{1}{6}+\frac{1}{5}+\frac{6}{13}  +\frac{28}{27}+\frac{4}{7}+\frac{36}{29}+\frac{2}{  3}]

    \int_{0}^{1} \frac{x}{x+2} = 6.0054
     <br />
\int_0^1 \frac{x}{x+2} \, dx \approx \frac{1}{30}\left(0 + \frac{4}{21} + \frac{2}{11} + \frac{12}{23} + \frac{1}{3} + \frac{4}{5} + \frac{6}{13} + \frac{28}{27} + \frac{4}{7} + \frac{36}{29} + \frac{1}{3}\right) = 0.189069...
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