I need help with parts b and c from question 2. I know the reliability equals e^(- integral of the hazard rate function in respects to time). I want to verify my integration.

Problem 2 (25 Points) A device has a continuous failure rate specified by the equations: at 0.5 for Ost St, h(t) = 2 fort, Stutz b(t - t, )2 for tzt, a) Solve for the constants a and b in terms of 1 , t, and t2 . b) Compute the expressions for the reliability of the device as a function of time, in terms of 1 , t, and t, , c) Ift, =1 year and t, = 10 years and =0.1 per year, compute the probability that the device will not fail in 5 years