Boudreaux finished with 5-of-10 shooting from the field and 8-of-8 from the line for the Big Green (3-3). Miles Wright added 19 points and four rebounds and Connor Boehm had 14 points and five rebounds.
Dartmouth won it with superior shooting, averaging 49.1 percent from the field, 73.1 percent from the line and hitting 6 of 15 (40 percent) from beyond the arc. Maine averaged 40.8 percent from the field, 60 percent from the line and made just 5 of 29 (17.2 percent) from distance.
The Big Green had a 42-33 advantage at the break and held on in the second half for the win.