CAIE P2 2011 June — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2011
SessionJune
TopicStandard Integrals and Reverse Chain Rule

4
  1. Find the value of \(\int _ { 0 } ^ { \frac { 2 } { 3 } \pi } \sin \left( \frac { 1 } { 2 } x \right) \mathrm { d } x\).
  2. Find \(\int \mathrm { e } ^ { - x } \left( 1 + \mathrm { e } ^ { x } \right) \mathrm { d } x\).