How / can I display a console window in Intellij IDEA?

Is it possible to have a console window / command-line interface as part of the Intellij IDEA UI? I'd rather go command-line for certain actions, like working with GIT or kicking off build-processes, but at the moment that means keeping a separate console window open and alt-tabbing.

Is there some form of integrated console? And even better than that, can it automatically point at my project root by default?

IntelliJ IDEA 14 & 15 & 2017:

View > Tool Windows > Terminal

or

Alt + F12

In IntelliJ IDEA 2016.1.1:

1. View->Tool Windows->Debug (Alt+5)
2. on top right of Debug Window, click "Restore Console View" which is only show a icon like below:

More IntelliJ 13+ Shortcuts for Terminal

Mac OS X:

alt ⌥F12

cmd ⌘shift ⇧A then type Terminal then hit Enter

shift ⇧shift ⇧shift ⇧shift ⇧ then type Terminal then hit Enter

Windows:

altF12 press Enter

ctrlshift ⇧A start typing Terminal then hit Enter

shift ⇧shift ⇧ then type Terminal then hit Enter

View>Tool Windows>Run

It will show you the console