An oil well is expected to produce oll at the rate of 46e-0.05t thousand barrels per month indefinitely, where t is the number months that the well has been in operation. Find the total output (in barrels) over the lifetime of the well by integrating this r from 0 to . [Note: The owner will shut down the well when production falls too low, but it is convenient to estimate the total output as if production continued forever.] Thousand barrels 46 production rate total production Months