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[itex]\frac{d}{dx} \ln(x) = \frac{1}{x}[/itex]

[itex]\frac{d}{dx} \ln(kx) = \frac{k}{kx} = \frac{1}{x}[/itex]

However, what about [itex]\int\frac{1}{x}[/itex].

I've been taught to use [itex]\int\frac{1}{x} = \ln(x)[/itex],

but wouldn't [itex]\int\frac{1}{x} = \ln(kx)[/itex] work as well.

And if this is true, there are an infinite number of integrals!?!?