Apple began to lay out its $2.2 billion damages claim against Samsung Electronics for the first time on Tuesday, arguing to an eight-person jury in California that Samsung's alleged patent infringement was large and significantly damaged Apple. Apple is demanding the money for lost sales and royalties it says it suffered as a result of Samsung's sale of more than 37 million smartphones and tablets between August 2011 and the end of 2013, the company told the court.