Ajinkya Rahane (106) and Shikhar Dhawan (97 not out) pulverised England’s attack in an opening stand of 183.
India gave their raucous fans, who accounted for some two-thirds of a 21,000 crowd, plenty to cheer with a blizzard of boundaries at the start of their run-chase.
Rahane hit four fours in five balls off James Anderson — the best an off-drive.
Left-hander Dhawan, who struggled for runs in India’s preceding 3-1 Test series defeat by England, then struck a superb straight drive off fast bowler Steven Finn.
The Middlesex paceman suffered more punishment when Rahane pulled him for six.
Even off-spinner Ali wasn’t spared, Rahane slog-sweeping him for his second six to complete a 60-ball fifty also including six fours.
Dhawan too went to fifty, off 57 balls, with a six when he drove Anderson straight back over the bowler’s head.
Dhawan followed up with a huge legside six, from a free hit, off recalled left-arm paceman Harry Gurney.
Rahane’s two off Chris Woakes saw him complete a first century in 33 matches at this level in 96 balls, with nine fours and four sixes.
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