T trungduong12 Active Member Joined May 8, 2014 Messages 543 Gender Male HSC 2014 Sep 22, 2014 #1 I can show i) But i dont know how to "hence show ii) from i) " Sent from my iPhone using Tapatalk
Carrotsticks Retired Joined Jun 29, 2009 Messages 9,467 Gender Undisclosed HSC N/A Sep 22, 2014 #2 Make log x the subject from (i), then integrate both sides.
dan964 what Joined Jun 3, 2014 Messages 3,468 Location South of here Gender Male HSC 2014 Uni Grad 2019 Sep 22, 2014 #3 use your "known fact/assumption" as follows ∫ lnx dx = ∫ (ln (x) +1)-1 dx (“Rigging” it) = x ln x- ∫ 1 dx (from part (i)) = x ln x- x
use your "known fact/assumption" as follows ∫ lnx dx = ∫ (ln (x) +1)-1 dx (“Rigging” it) = x ln x- ∫ 1 dx (from part (i)) = x ln x- x