# Thread: Integration Using Trapezoidal and mid ordinate rule :)

1. ## 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

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

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

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

,

,

,

,

,

# How To Solve The mid ordinate rule Using Related Questions

Click on a term to search for related topics.