To calculate: The oil leakage during the first hour.
Theoil leakage during the first hour is .
The function is .
The integral function is,.
Substitute for .
The region lies between and .
Differentiate both sides of the Equation (2).
Substitute 0 for t in Equation (2) and obtain the lower limit of u.
Substitute 60 for t in Equation (2) and obtain the upper limit of u.
Express the given integral in terms of u.
Substitute u for and for dt in Equation (1).
Integrate Equation (3).
Hence, the oil leakage during the first hour is .
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