Applications of Integration
Applications of Integration

Applications of Integration

Lead Author(s): Kelly Cline

Student Price: FREE

These questions apply integration to concepts primarily in the physical sciences such as motion, flow, and work.

[Applications of integration] 1

Water is pouring out of a pipe at the rate of f(t) f(t) gallons/minute. You collect the water that flows from the pipe between tt = 2 minutes and tt = 4 minutes. The amount of water you collect can be represented by:

A

24f(t)dt\int_2^4 f(t)dt

B

ff (4) – ff (2)

C

(4 – 2) ff (4)

D

the average of ff (4) and ff (2) times the amount of time that elapsed

[Applications of integration] 2

If f(t)f(t) is measured in gallons/minute and tt is measured in minutes, what are the units of 24f(t)dt\int_2^4 f(t)dt ?

A

gallons/minute

B

gallons

C

minutes

D

gallons/minute/minute

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