Try a constant torque
Initial conditions:
T(0) = To, T(0) = 0, T(0) = 0
Final conditions:
T(tf) = Tf, T(tf) = 0, T(0) = 0
Apply constant torque t = c
which produces I T = c
Integrate twice and use the initial conditions to get
T = (c/2I) * t2
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