# Worksheet: The Fundamental Theorem of Calculus: Evaluating Definite Integrals

In this worksheet, we will practice using the fundamental theorem of calculus to evaluate definite integrals.

**Q4: **

Evaluate .

- A
- B
- C
- D0
- E

**Q5: **

Determine .

**Q6: **

Determine .

- A486
- B
- C54
- D

**Q8: **

Evaluate .

- A
- B
- C
- D
- E6

**Q9: **

Let Determine .

**Q10: **

Determine .

- A
- B
- C
- D
- E

**Q12: **

Evaluate .

- A
- B
- C
- D
- E

**Q16: **

If is the rate of growth of a child in grams per week, what does represent?

- AIt represents the child’s weight (in grams) at the age of 3 weeks.
- BIt represents the child’s weight (in grams) at the age of 5 weeks.
- CIt represents the child’s weight (in grams) at the age of 1 week.
- DIt represents the increase in the child’s weight (in grams) during the last week.
- EIt represents the net change in the child’s weight (in grams) between the ages of 1 and 5 weeks.

**Q17: **

Evaluate .

- A
- B
- C
- D54
- E

**Q18: **

Determine .

- A
- B
- C
- D

**Q19: **

If oil leaks from a tank at a rate of gallons per minute at time , which of the following does represent?

- AThe number of gallons of oil left in the tank after 120 minutes
- BThe number of gallons of oil leaked between the and minutes
- CThe number of gallons of oil left in the tank after 20 minutes
- DThe number of gallons of oil left in the tank after 70 minutes
- EThe number of gallons of oil leaked during the last minute

**Q20: **

Evaluate .

- A
- B
- C192
- D
- E

**Q21: **

Evaluate .

- A
- B
- C
- D
- E

**Q22: **

A honeybee population starts with 100 bees and increases at a rate of bees per week. What does represent?

- AIt represents the total population in week 16.
- BIt represents the net change in population between week 1 and week 16.
- CIt represents the net change in population between week 1 and week 8.
- DIt represents the total population in week 1.
- EIt represents the total population in week 8.

**Q23: **

Evaluate .

- A
- B342
- C
- D

**Q24: **

Determine .

- A
- B
- C
- D

**Q25: **

If , determine .