OCR C2 2011 January — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJanuary
TopicArea Under & Between Curves

3
\includegraphics[max width=\textwidth, alt={}, center]{c52fe7e9-0442-4b3e-b924-2e5e4b3e98f5-02_510_791_991_678} The diagram shows the curve \(y = \sqrt { x - 3 }\).
  1. Use the trapezium rule, with 4 strips each of width 0.5 , to find an approximate value for the area of the region bounded by the curve, the \(x\)-axis and the line \(x = 5\). Give your answer correct to 3 significant figures.
  2. State, with a reason, whether this approximation is an underestimate or an overestimate.