All in the title, can someone explain to me the proof that
intergrating dx/x gives ln(x)?
Also, what would this make things like dx/(x^2) intergrate to?
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Ratio wrote:All in the title, can someone explain to me the proof that
intergrating dx/x gives ln(x)?
Also, what would this make things like dx/(x^2) integrate to?
ameretrifle wrote:Magic space feudalism is therefore a viable idea.
yeyui wrote:You know the power rule for derivatives: \frac{d}{dx} x^n = nx^{n-1} for any n other than 0.
Eastwinn wrote:I have a question. Does anyone have a proof that f(xy) = f(x) + f(y), f(e) = 1, defines a unique function for positive, real x and y, provided that it truly does? In that case, I would think that to be the most efficient definition of ln.
ameretrifle wrote:Magic space feudalism is therefore a viable idea.
Eastwinn wrote: Does anyone have a proof that f(xy) = f(x) + f(y), f(e) = 1, defines a unique function for positive, real x and y, provided that it truly does?