Trapezoidal rule question (1 Viewer)

[BlueGas]

When I have my approximation and the exact area, how do I "express the error caused by the approximation as a percentage of the exact area? " For example, approximation = 1.17 and exact area = 7/6. What's the working out for this?

 

[InteGrand]

When I have my approximation and the exact area, how do I "express the error caused by the approximation as a percentage of the exact area? " For example, approximation = 1.17 and exact area = 7/6. What's the working out for this?

This is the formula for percentage error.

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If this yields a negative percentage, this indicates that your estimate is an underestimate.

 

[BlueGas]

This is the formula for percentage error.

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If this yields a negative percentage, this indicates that your estimate is an underestimate.

So basically (1.17-7/6)/7/6 *100% (if that makes sense to you) and the answer is 7.93%.

Thanks InteGrand.