Talk:Integral of Logarithm
Jump to navigation
Jump to search
Wonder whether you might want to put a result together about int of f (log_a x) = 1/ln a int f(x) (or whatever it actually is)? Rather than have to repeat all results with ln in them to have a version for log_a in. --prime mover 16:00, 16 January 2012 (EST)
- You mean, for all operators, derivative/integral whatever? I'm not sure what you're suggesting :( --GFauxPas 16:08, 16 January 2012 (EST)
- Not sure I do myself now, I think I meant to say: $\int f (\log_a x) dx = 1/\ln a \int f(\ln x) dx$ or however it needs prettifying. Actually I'm sure this is not the actual result, but it's something like this, I dare say. I'd need to go and think about it, but I have other things to do, unfortunately ... --prime mover 16:40, 16 January 2012 (EST)
- Check out my sandbox, see if that's what you were looking for. --GFauxPas 16:41, 16 January 2012 (EST)
- Not sure I do myself now, I think I meant to say: $\int f (\log_a x) dx = 1/\ln a \int f(\ln x) dx$ or however it needs prettifying. Actually I'm sure this is not the actual result, but it's something like this, I dare say. I'd need to go and think about it, but I have other things to do, unfortunately ... --prime mover 16:40, 16 January 2012 (EST)