Murali Vijay was the top scorer for India with a 95-run knock in the second innings.
The first Test at Nottingham had ended in a draw.
Brief Scores: India: 295 and 342 in 103.1 overs. (Murali Vijay 95, Buhvneshwar Kumar 52; Liam Plunkett 3/65, Ben Stokes 3/51, Moeen Ali 2/28).
England 1st innings: 319 all out.