OCR C2 2012 January — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2012
SessionJanuary
TopicArea Under & Between Curves

2
\includegraphics[max width=\textwidth, alt={}, center]{ad3083ae-caa6-42d8-a1f2-e984150cb104-2_536_917_1016_577} The diagram shows the curve \(y = \log _ { 10 } ( 2 x + 1 )\).
  1. Use the trapezium rule with 4 strips each of width 1.5 to find an approximation to the area of the region bounded by the curve, the \(x\)-axis and the lines \(x = 4\) and \(x = 10\). Give your answer correct to 3 significant figures.
  2. Explain why this approximation is an under-estimate.