CAIE P2 2019 March — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2019
SessionMarch
TopicStandard Integrals and Reverse Chain Rule

6
  1. Show that \(\int _ { 1 } ^ { 4 } \left( \frac { 2 } { x } + \frac { 2 } { 2 x + 1 } \right) \mathrm { d } x = \ln 48\).
  2. Find \(\int \sin 2 x ( \cot x + 2 \operatorname { cosec } x ) \mathrm { d } x\).