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To shorten links using Google new URL shortener goo.gl you need to install the Google toolbar. If you resist installing a new toolbar just for the sake of shortening URLs using Goo.gl then this is for you. Marklets.com has a smart bookmark link to shorten your links with Goo.gl.
These types of smar bookmarks are called bookmarklets. These are usually based on javascript and work with any browser. To use these just drag the bookmarklet to your bookmark toolbar. For the goo.gl bookmarklet, when you have to shorten a link click on the bookmarklet when the page is opened. A popup displays instantly giving you the shortened URL.