Between the years 2003 and 2009 , the rate at which the world’s oil was consumed ( inbillions of barrels per year ) may be described by the function R ( t ) = 31 @. but, where +is in years , and t = O is the start of 2003 .( a ) ( 3 pts) Write a definite integral whose value gives the total amount of oil consumedbetween the start of 2003 and the end of 2009 .
( b ) ( 4 pts) Evaluate the definite integral you wrote above , to calculate the total amountof oil consumed between the start of 2003 and the end of 2009 . ( Give your valueaccurate to 4 decimal places . Show work for your anti- derivative . A value for theintegral arrived at solely by using a calculator will receive no credit . )
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