The function gives the rate at which paint is pumped into a container

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

Problem

The function P′(t)P'(t) gives the rate at which paint is pumped into a container, measured in gallons per hour. When evaluating ∫06P′(t) dt\displaystyle \int_{0}^{6} P'(t)\,dt, what will be the units of the resulting value? (a) gallons (b) gallons per hour (c) hours (d) gallons per hour squared

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