If he's erasing his history, that means he's looking at sites he doesn't want you to know about. At least he cares enough about you to take the time to erase whatever, so you won't be hurt by it. If he is loving, caring, attentive, respects you, and otherwise is a good husband to you, don't ruin it by trying to find out something that will just hurt you and your marriage. Is he acting weird or different towards you? If he isn't, just drop it.