A major misconception is that all veggies are far more nutritious when eaten raw, but that isn't necessarily so, at least for some veggies. One such veggie is the lovely carrot. Personally, I prefer raw carrots. I love the crunchiness, and there's nothing like a frothy glass of fresh carrot carrot juice.
But, thankfully, I don't have to forgo the juicing to get the full benefits of the beta-carotene, that the carrot is so famous for. But carrots do release more of that beta-carotene and other phenolic compounds when they are cooked rather than eaten raw. So if you want to take advantage of all those antioxidants, you should opt for cooking those carrots a little.