Recent content by bcsmith

What I took him to mean was there would be no ln in the formula at all.

But, that piecewise function is still in the form of ln|x|. What my professor was looking for was an equation f(x) not in that form that still satisfied F'(x) = f(x)

Yes, this is correct. If you'd like proof take a look at (http://www.wolframalpha.com/input/?i=derivative+of+e^%28ax^3%29). [PLAIN]"wolframalpha.com"[/URL] is a very good resource for checking your answers. Good luck!

Correct (from what I gathered). He just wants any antiderivative that isn't ln|x| or ln(x) and why that is an antiderivative of \frac {1}{x}

Homework Statement My professor gave us the problem: "Explain why not all antiderivatives of \frac{dx}{x} are in the form of ln|x|"Homework Equations \int \frac{dx}{x} = {ln|x|, x\neq 0}The Attempt at a Solution I honestly don't know where to even start on this one, from all of my background I...