But Texas would answer with Seth Johnston's first career home run in the bottom of the second to trim the deficit to 3-2. The Horns went on top for good an inning later with Tim Moss' bases loaded double to drive in three. Majewski's RBI single completed the scoring at 6-3.
In relief, Sam LeCure held the Tigers to one hit between the fourth and eighth innings while striking out a career-best four to register his third win of the year.
Missouri had runners on the corners with only one out in the ninth, the result of two fielding errors. But with the tying run at the plate, Huston Street struck out both Ryan Rallo and Cody Ehlers to earn his team-leading fourth save of the year.
Both Majewski and Johnston went 2-for-4 and each collected an RBI on the afternoon, while Moss matched a career high for RBI with three.
Texas faces Southwest Texas State at Disch-Falk Field, 6:30 p.m., Tuesday before traveling to Stillwater next weekend to take on Okie State.