CAIE P2 2019 November — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2019
SessionNovember
TopicStandard Integrals and Reverse Chain Rule
6
  1. Show that \(\int _ { 2 } ^ { 18 } \frac { 3 } { 2 x } \mathrm {~d} x = \ln 27\).
  2. Find the exact value of \(\int _ { 0 } ^ { \frac { 1 } { 6 } \pi } 4 \sin ^ { 2 } \left( \frac { 3 } { 2 } x \right) \mathrm { d } x\). Show all necessary working.
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