Error analysis for approximation

A question is this type if and only if it asks to calculate the actual error or percentage error between a trapezium rule estimate and the exact value found by integration.

1 questions · Moderate -0.3

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Edexcel C2 Q9
13 marks Moderate -0.3
The finite region \(R\) is bounded by the curve \(y = 1 + 3\sqrt{x}\), the \(x\)-axis and the lines \(x = 2\) and \(x = 8\).
  1. Use the trapezium rule with three intervals of equal width to estimate to 3 significant figures the area of \(R\). [6]
  2. Use integration to find the exact area of \(R\) in the form \(a + b\sqrt{2}\). [5]
  3. Find the percentage error in the estimate made in part (a). [2]