TU trailed 32-23 at halftime, but stormed out with a 13-4 run to tie the game at 36-36.
Wright State (22-12) would seize back the lead, but Tulsa would close in at 45-43 when James Woodard drilled a 3 with 12:15 left in the game.
But the Raiders took over from there and TU could never regain its rhythm.
Scottie Haralson led TU with 13 points and Woodard scored 12. Kendall Griffin led Wright State with 15 points. Jerran Young and Miles Dixon also scored 14 and 12 points, respectively, for the Raiders.
Tulsa finishes its first season under Danny Manning at 17-16.
Before falling to Wright State, TU went through the Conference USA Tournament last week at the BOK Center -- rallying from behind to beat East Carolina, 79-72, in the quarterfinals, before falling to 20th-ranked Memphis, 85-74, in the semis.
Haralson, who is a senior who made the C-USA All-Tournament team, ends his career as the third-leading three-point shooter in school history. He connected 248 treys and totaled 1,064 points in three seasons at TU.