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Math Help - Integration Using Trapezoidal and mid ordinate rule :)

  1. #1
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    Integration Using Trapezoidal and mid ordinate rule :)

    Hello Everyone
    Just incredibly stuck on this question wondering if anyone knew how to do it or where to even begin

    TASK 4

    The pressure (p) and the volume (V) during gas expansion is related by the law p = 0.25V-1.3. Determine the work done when the when the volume is expanded from 10 x 10-6 to 100 x 10-6 m3. Use calculus, the trapezoidal rule and the mid-ordinate rule to solve. Comment on any variance in your answers.


    Thanks for any help!

    James
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  2. #2
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    Quote Originally Posted by WannabeMathsGeek View Post
    Hello Everyone
    Just incredibly stuck on this question wondering if anyone knew how to do it or where to even begin

    TASK 4

    The pressure (p) and the volume (V) during gas expansion is related by the law p = 0.25V-1.3. Determine the work done when the when the volume is expanded from 10 x 10-6 to 100 x 10-6 m3. Use calculus, the trapezoidal rule and the mid-ordinate rule to solve. Comment on any variance in your answers.


    Thanks for any help!

    James
    W = - \int_{V_i}^{V_f} P \, dV.
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