# Lesson Worksheet: Definite Integrals: The Power Rule Mathematics

In this worksheet, we will practice evaluating definite integrals using the power rule.

**Q1: **

Evaluate .

- A
- B
- C
- D
- E0

**Q2: **

Evaluate .

- A
- B38
- C
- D
- E

**Q3: **

Evaluate .

- A
- B
- C
- D
- E

**Q4: **

Determine .

- A486
- B
- C54
- D

**Q5: **

Evaluate .

- A
- B
- C
- D54
- E

**Q6: **

Evaluate .

- A
- B0
- C
- D
- E

**Q7: **

Given that for some constant , find the value of .

- A
- B
- C
- D
- E

**Q8: **

Given that for some constants and , find the values of and .

- A,
- B,
- C,
- D,
- E,

**Q9: **

Given that , find the value of given that it is greater than 1.

**Q10: **

A car is traveling along a road in a straight line and its velocity after seconds is given by . The displacement of the car in meters after 10 seconds is given by . Find the displacement of the car after 10 seconds.

- A meters
- B meters
- C meters
- D meters
- E meters