The flow rate of water into an empty tank increases linearly from at minutes to at minutes

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

Problem

The flow rate of water into an empty tank increases linearly from

0\text{ gal/min}

t=0

minutes to

12\text{ gal/min}

t=5

minutes. Calculate the total volume of water that enters the tank during this

5

-minute interval. Include units in your answer.