# Worksheet: Riemann Sums

In this worksheet, we will practice approximating the area under the curve of a function using right, left, and midpoint Riemann sums.

**Q6: **

Use left Riemann sum to approximate the area under the curve of on the interval . Use subintervals with .

- A
- B
- C
- D
- E

**Q8: **

Use a right Riemann sum to approximate the area under the curve of in the interval . Use subintervals with . Approximate your answer to three decimal places.

**Q10: **

Use left Riemann sum to approximate the area under the curve of on the interval ; use subintervals with .

- A
- B
- C
- D
- E

**Q11: **

Given that , with , calculate the right Riemann sum for with 5 subintervals of equal width.

**Q12: **

Given that , with , calculate the midpoint Riemann sum for with 5 subintervals of equal width. Give your answer to three decimal places.

- A60
- B56.877
- C71.001
- D66.082
- E48.954

**Q13: **

Use a right Riemann sum with 10 subintervals to estimate the area under the curve on the interval . Give your answer to four decimal places.

- A1.3837
- B0.2482
- C0.2767
- D0.2513
- E0.2545

**Q14: **

Use a midpoint Riemann sum with 6 subintervals to estimate the area under the curve on the interval . Give your answer to two decimal places.

**Q15: **

Given that , where , calculate the left Riemann sum for with 10 subintervals of equal width. Give your answer to five decimal places.