It's a white app with a blue compass icon on it., It's the left-facing arrow in the bottom-left corner of the screen. Doing so will bring up your device's history.

The "Back" button must be blue in order to bring up your device history. If it isn't blue, first navigate to a new page before pressing it.
 Tapping an entry on this page will take you to the entry's webpage.

You can't clear Safari's browsing history from within the Safari app.
Open Safari.
Tap and hold the "Back" button.
Review your browsing history.
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