But I doubt it will hurt by itself as long as you have other math classes to show you're not incompetent. I had an F in Pre-Calc (blew off an independent study class a long time ago) and the worst part of it was the effect it had on my GPA, even after a ton of other credits. Never came up during my interviews, though. I did alright in a couple of other math classes later on.
I'd suggest a retake as well. Calc is annoying, to me, because I hate math that is heavily "theory based." Coming from a finance background, I loved statistics. Regardless, retake the class and enjoy the GPA boost if you do well.