# 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.

 π₯ π ( π₯ ) 3 7 11 15 19 23 27 β 2 . 6 β 1 . 4 β 0 . 7 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.

 π₯ π ( π₯ ) 1 5 9 13 17 21 25 β 3 . 1 β 2 β 1 β 0 . 4 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.

 π₯ π ( π₯ ) 1 5 9 13 17 21 25 β 3 . 1 β 1 . 7 β 0 . 4 1.1 2.5 4 5.1