It's easy to browse privately on desktop and laptop computers by using Chrome's Incognito mode or other tools, but many Android users can't use Chrome yet. It's not so hard to get Dolphin HD Browser to keep your browsing private, though. Here's how to do it:
When you finish setup, tap the Menu button, then select "More," then "Settings," then "Privacy & Security Settings."
You should see six check boxes; check them so that only the last one ("Browsing without history") is checked.
That's it! Remember that there are still ways for others to figure out what you were browsing if they're intent on it, but this does make you somewhat more secure. For more info on private browsing, check out this video by Kara Tsuboi (also embedded below).
Watch this: Tips for keeping your browsing private