OCR MEI C3 — Question 6

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

6 Find \(\frac { \mathrm { d } } { \mathrm { d } x } ( x \ln x )\) and hence or otherwise find the value of \(\int _ { 2 } ^ { 3 } \ln x \mathrm {~d} x\), giving your answer in the form \(\ln a + b\), where \(a\) and \(b\) are to be determined.