OCR MEI C4 — Question 6

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
TopicArea Under & Between Curves

6 The graph shows part of the curve \(y = \frac { 1 } { 1 + x ^ { 2 } }\).
\includegraphics[max width=\textwidth, alt={}, center]{62dbc58e-f498-483f-a9aa-05cb5aa44881-3_474_961_406_479} Use the trapezium rule to estimate the area between the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = 2\) using
  1. 2 strips,
  2. 4 strips. What can you conclude about the true value of the area?