So it would be nice if we could come up with an antiderivative that has the same domain as the function that we're taking the antiderivative of. So it would be nice if we could find an antiderivative that is defined everywhere that our original function is. So pretty much everywhere except for x equaling 0. So how can we rearrange this a little bit so that it could be defined for negative values as well? Well, one possibility is to think about the natural log of the absolute value of x. So I'll put a little question mark here because we don't really know what the derivative of this thing is going to be. And I'm not going to rigorously prove it here, but I will give you kind of the conceptual understanding.