OCR C2 2009 January — Question 4

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
TopicAreas Between Curves

4
\includegraphics[max width=\textwidth, alt={}, center]{bbee5a50-4a32-4171-8713-8eb38914a511-3_570_853_269_644} The diagram shows the curve \(y = x ^ { 4 } + 3\) and the line \(y = 19\) which intersect at \(( - 2,19 )\) and \(( 2,19 )\). Use integration to find the exact area of the shaded region enclosed by the curve and the line.