OCR MEI C3 — Question 4

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
TopicIntegration by Parts

4
  1. Differentiate \(\frac { \ln x } { x ^ { 2 } }\), simplifying your answer.
  2. Using integration by parts, show that \(\int \frac { \ln x } { x ^ { 2 } } \mathrm {~d} x = - \frac { 1 } { x } ( 1 + \ln x ) + c\).