Title: FTOC: Integrals are Antiderivatives PostVideo Questions
Course: Calculus I

Q: Let [Image: equation] represent the rate at which water drains from a tank (in gallons per minute) where t represents the number of minutes elapsed since water started draining from the tank. Which of the following best describes the meaning of [Image: equation]
- The change in the rate at which the water drains from 1 to 4 minutes after starting to drain the water. (Incorrect)
- The change in the volume of water in the tank from 1 to 4 minutes after starting to drain the tank. (Correct)
- The average rate at which water is leaving the tank from 1 to 4 minutes after starting to drain the tank. (Incorrect)
- The amount of water that has drained from the tank 4 minutes after starting to drain the tank (Incorrect)
A: The change in the volume of water in the tank from 1 to 4 minutes after starting to drain the tank.

Q: The value of the definite integral [Image: equation] is:
- 2 (Incorrect)
- 4 (Correct)
- 6 (Incorrect)
- 8 (Incorrect)
- 10 (Incorrect)
A: 4