If t is in years, and t=0 is January 1, 2005, worldwide energy consumption, r, in quadrillion (1015) BTUs per year, is modeled by r=462e0.019t.   (a) Write a definite integral for the total energy use between the start of 2005 and the start of 2016. Use the Fundamental Theorem of Calculus to evaluate the integral. Round your answer to the nearest integer.

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