# Worksheet: Definite Integrals as Limits of Riemann Sums

In this worksheet, we will practice interpreting a definite integral as the limit of a Riemann sum when the size of the partitions tends to zero.

**Q2: **

Without evaluating the limit, express as a limit of Riemann sums.

- A
- B
- C
- D
- E

**Q4: **

Evaluate using the limit of Riemann sums.

- A38
- B42
- C16
- D18
- E36

**Q7: **

Without evaluating the limit, express as a limit of Riemann sums.

- A
- B
- C
- D
- E

**Q8: **

Evaluate by taking the limit of Riemann sums.

**Q9: **

Using Riemann sums, express as an integral.

- A
- B
- C
- D
- E

**Q10: **

Express as the limit of Riemann sums.

- A
- B
- C
- D
- E

**Q11: **

Evaluate using the limit of Riemann sums.

**Q12: **

Express as a definite integral.

- A
- B
- C
- D
- E

**Q13: **

Evaluate using the limit of Riemann sums.

- A
- B
- C
- D
- E