Umesh Yadav's maiden 10-wicket haul (6/88 and 4/45) on a decent track was the highlight as India reached the meager victory target of 72 in 16.1 overs, courtesy an unbeaten partnership between openers Prithvi Shaw (33) and KL Rahul (33).
After being bowled out cheaply in the first session and managing only a lead of 56 runs, the Indian bowlers riding on Umesh Yadav's brilliant spell roared back to knock the West Indies over for a paltry 127 in their second essay.
For India, it was their 10th series win at home since their last defeat against England way back in 2012.
The hosts' control of the match was threatened early on Sunday as their tail-end collapse saw them post 367 all out under pressure from Jason Holder (5-56), but the Windies' failure to capitalise with the bat proved costly.
Fast bowler Shannon Gabriel claimed three for 107, while left-arm spinner Jomel Warrican, in his first Test in almost three years, ended with two for 84. While Prithvi Shaw contributed 70 runs and Virat Kohli struck 45 runs. Brathwaite lazily clipped a leg-side catch to wicketkeeper Pant off Umesh, without a run on the board.
However, on the stroke of the drinks break, Hetmyer lost the plot, charging and swinging wildly at Kuldeep and peeling a simple catch to Cheteshwar Pujara at point.
Without a score of note in his comeback series, Ambris tried to make his mark, carving out four fours off 95 balls in almost two hours at the crease. However, he missed out on scoring a century in the fifth consecutive Test at home. This time he played 134 balls hitting 11 boundaries and two sixes.
Ambris and Holder (19) delayed the inevitable after tea, adding 38 for the seventh wicket to keep India wicket-less for almost 40 minutes.
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