A pump moves water at a rate of gallons per minute

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A pump moves water at a rate of r(t)r(t) gallons per minute, where tt is measured in minutes. What are the units of the definite integral ∫26r(t) dt\displaystyle \int_{2}^{6} r(t)\,dt? (a) (gallons)(minutes)(\text{gallons})(\text{minutes}) (b) gallons per minute\text{gallons per minute} (c) gallons\text{gallons} (d) minutes per gallon\text{minutes per gallon}

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