West Indies captain Darren Sammy's faith in his bowling attack was rewarded as the tourists claimed a 77-run victory over Bangladesh in the first Test in Dhaka.
The hosts crumbled under pressure and were all out for 167 runs in their second innings, having been set a target of 245 runs in a maximum of 78 overs to win on a fifth day track.
Paceman Tino Best picked up his maiden five-wicket haul in Tests (5-24), while debutant left-arm spinner Veerasammy Permaul claimed 3-32.
"There was something for the spinners and also our guys are much quicker, so I backed my bowlers to go out and put the ball in the right areas," said Sammy.
"It was a hard fought Test match. Obviously winning brings a good feeling in the dressing room. To see that we battled and came out victorious definitely boosts our confidence."
Bangladesh captain Mushfiqur Rahim said: "It's really disappointing to see how we batted in the second innings against the same attack, who gave us 556 runs in the first innings.
"We could have at least got a draw from that position if not a win."