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misogynisticfeminist
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Yeah, this questions may be a little elementary for some, but I don't seem to have any sources which would be able to tell me how do i integrate a function 1/x. Any help would be great.
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arildno said:I assume that you know that an antiderivative is ln(x), but you don't know how to get there?
misogynisticfeminist said:whoa crap, ln (x) didn't cross my mind. Thanks alot...
Can you explain that...?Chrono said:Don't forget that in calculus they use log[x] as the natural log, instead of ln[x].
dav2008 said:Can you explain that...?
I have never seen log(x) used as the natural logChrono said:Pretty much every calculus book uses log[x] instead of ln[x] to represent the natural log with base e. Remeber that in high school they told you that if you had log[x] without a base it was understood to be 10? Well, that's not ture in calculus. Log[x] has a base e. Is that better?
dav2008 said:I have never seen log(x) used as the natural log
Note: All logarithms in this book are natural logarithms - The base 10 logarithm is as much of a historical curiosity as a slide rule.)
DeadWolfe said:Yes, but only mathematicians.
I don't go near engineers, because they smell of booze and modernism, but I'm told that they use log to mean log to the base 10.
Note: All logarithms in this book are natural logarithms - The base 10 logarithm is as much of a historical curiosity as a slide rule.)
Which is actually curious. They should've used the natural logarithms.BobG said:Base 10 log is used to measure gain in power amplification, used to measure sound levels, used to measure earthquakes, used to measure power of radio signals and gain of antennas among other things.
matt grime said:However, Alkatran, log to mean base e is *already* an established convention in mathematics (whatever it is elsewhere is not important to us here, really) in many areas. If I have to choose between the convention adopted by, amongst others the University of Cambridge, and the opinion of one person on a web forum who isn't a mathematician I know which I wil pick. Much the same as I will always refer to it as the complex plane and not the argand plane (one is a high school affectation that you ought to grow out of).
mathwonk said:By the way I love the following proof:
"Now if the limit exists, which you can see it clearly does by looking at the graph,"
I had always though it difficult to prove this limit exists! Another equivalent argument would be perhaps "which is clear from sticking your finger into the wind,.."