With an eye on next year's 50-over World Cup and 2020 World T20 in Australia, the West Indies Cricket Board (WICB) has drafted in three youngsters - opener Chrandrapaul Hemraj, all-rounder Fabian Allen and fast bowler Oshane Thomas - in the limited overs squads.
The tourists were all out for 181 in their first innings and managed only a slight improvement as they scored 196 the second time round.
The margin of victory surpassed India's previous record, set when they beat Afghanistan by an innings and 262 runs at Bengaluru earlier this year. Harbhajan tweeted this during the capitulation of the visiting side in the first innings.
The match will be best remembered for the emergence of Prithvi Shaw, who announced his arrival in global cricket with a classy hundred on debut, becoming the youngest from the country to do so in Tests.
The second and final test begins in Hyderabad on Friday.
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The opposition batsmen, who needed to spend time in the middle, seemed to be in a hurry to finish the game.
Shimron Hetmyer's (11) ill-judged heave at Kuldeep resulted in a catch at short third man and without a run added three balls later in the same over, Sunil Ambris was completely up-ended by one that bounced for Rishabh Pant to complete a smart stumping.
Jadeja, in his 38th Test match, had plundered an unbeaten 100 off 132 deliveries when the declaration came at tea, India aiming not to have to bat again. Quite disappointed with this loss and we didn't get enough partnerships, " said stand-in skipper Kraigg Brathwaite.
India started with a spin-pace combination of Kuldeep and Mohammad Shami. Surprisingly, Chase and Paul had little difficulty in picking the chinaman, who bowled the first over the day. Royston Chase 53 (79), West Indies 159/8 after 43.2 overs.
India opened the batting on day one and declared at 649-9, with Virat Kohli making 139, and the 18-year-old Prithvi Shaw and Ravindra Jadeja also making centuries.
The squad is expected to fly to India a couple of days later on October 10.