"I don't bother to do" vs "I don't bother doing"

Which one of these sentences is correct?

  1. I don't bother to study.
  2. I don't bother studying.

Antony Quinn is correct, but I think it could do with a little more explanation.

No. 1 is perfectly understandable, but would not be used by a native English speaker. However, compare the following:

3) I won't bother to look for it

4) I won't bother looking for it

In my view 3 is just as acceptable as 4.

I think the difference in the two cases is to do with whether it is a specific or a general statement: to my intuition the "-ing" form is strongly preferred for a general sense, but not when a specific occasion is being referred to.

Also note that the almost synonymous phrase "can't be bothered" prefers the "to" form, though the "-ing" form is also found.