( 7pts )
9 . Between the years 2003 and 2009 , the rate at which the world’s oil was consumed ( in
billions 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 consumed
between the start of 2003 and the end of 2009 .
( b ) ( 4 pts) Evaluate the definite integral you wrote above , to calculate the total amount
of oil consumed between the start of 2003 and the end of 2009 . ( Give your value
accurate to 4 decimal places . Show work for your anti- derivative . A value for the
integral arrived at solely by using a calculator will receive no credit . )