CAIE P3 2018 November — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2018
SessionNovember
TopicIntegration by Parts

3
  1. Find \(\int \frac { \ln x } { x ^ { 3 } } \mathrm {~d} x\).
  2. Hence show that \(\int _ { 1 } ^ { 2 } \frac { \ln x } { x ^ { 3 } } \mathrm {~d} x = \frac { 1 } { 16 } ( 3 - \ln 4 )\).