# Worksheet: Right Endpoint Riemann Sum

In this worksheet, we will practice applying right endpoint approximation to find the area under a curve.

**Q1: **

The table gives the values of a function obtained from an experiment. Use them to estimate using three equal subintervals with right endpoints.

3 | 7 | 11 | 15 | 19 | 23 | 27 | |

0.8 | 2.3 | 3.4 | 4.8 |

**Q2: **

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

**Q3: **

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

**Q4: **

Approximate the integral using a Riemann sum with right endpoints. Take to be 8.

- A
- B
- C
- D
- E

**Q5: **

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

**Q6: **

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

**Q7: **

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

**Q8: **

Approximate the integral using a Riemann sum with right endpoints. Take to be 8.

- A
- B
- C
- D
- E

**Q9: **

The table gives the values of a function obtained from an experiment. Use them to estimate using three equal subintervals with right endpoints.

1 | 5 | 9 | 13 | 17 | 21 | 25 | |

0.7 | 2.2 | 3.1 |

**Q10: **

The table gives the values of a function obtained from an experiment. Use them to estimate using three equal subintervals with right endpoints.

1 | 5 | 9 | 13 | 17 | 21 | 25 | |

1.1 | 2.5 | 4 | 5.1 |