CAIE P2 2014 June — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2014
SessionJune
TopicArea Under & Between Curves

3
  1. Find \(\int 4 \cos \left( \frac { 1 } { 3 } x + 2 \right) \mathrm { d } x\).
  2. Use the trapezium rule with three intervals to find an approximation to $$\int _ { 0 } ^ { 12 } \sqrt { } \left( 4 + x ^ { 2 } \right) \mathrm { d } x$$ giving your answer correct to 3 significant figures.