The rate at which water enters a reservoir is gallons per minute for

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

The rate at which water enters a reservoir is R(t)=−2t+6R(t)=-2t+6 gallons per minute for 0≤t≤50\le t\le 5, where positive values of R(t)R(t) indicate water entering and negative values indicate water leaving. Determine the total volume of water, in gallons, that enters the reservoir during this 5-minute period.

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