The force of interest (t) at time t is given by

(t) = 0.06 0 < t 6

(t) = 0.05 + 0.0002t² 6 < t 12

Calculate the accumulated value at time t = 12 of a continuous payment stream of 100 pa payable from time t = 0 to time t = 6.

Ans: 1,078.28

Please kindly do it manually. Thank you!