In a study of proteins mediating cell membrane transport, biologists measure current versus time through the cell membranes of oocytes (nearly mature egg cells) taken from the African clawed frog, Xenopus. The measured current versus time is given approximately by I = 60t + 200t² + 4.0t³ with t in seconds and I in nA. Find the total charge that flows through the cell membrane in the interval from t = 0 to t = 5.0 s.