This is what I did:
But when I check it here: Function calculator it gives me what appears to be an imaginary number, it says the answer is: . But I can't understand why, the negative ones should all work because they are never taken to an even root.
My guess is that the programs are having trouble with the cube root for negative x. (Though you would think that Maple at least wouldn't have that problem.)
I've been using:
Cool math .com - Online Graphing Calculator - Graph It!
and Function Grapher Online
But, it also could not verify the answer for negative numbers, said it was imaginary. But I checked my answer anyway by taking it from 0 to 1 instead, and graph agreed with me, so if I got it wrong, then it's only due to an arithmetic error at the end. And that is rather unlikely as topsquark got the same answer.
On a side note, I wish I was a robot.