# 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.

**Q1: **

Given that and that , evaluate, to the nearest six decimal places, the Riemann sum for with six subintervals, taking the sample points to be left endpoints.

**Q3: **

Given and , evaluate the Riemann sum for with six subintervals, taking sample points to be midpoints.

- A7
- B
- C5
- D
- E

**Q4: **

Let over the interval . Evaluate the Riemann sum of using four subintervals and right endpoint sample points, giving your answer to six decimal places.

**Q5: **

Given and , evaluate the Riemann sum for with five subintervals, taking sample points to be right endpoints.

**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.

**Q9: **

Use a right Riemann sum to approximate the area under the curve of in the interval . Use subintervals with .

- A
- B
- C
- D
- E

**Q10: **

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

- A
- B
- C
- D
- E