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In this lesson, we will learn how to apply right endpoint approximation to find the area under a curve.

Q1:

Let π ( π₯ ) = 3 2 π₯ over the interval 1 β€ π₯ β€ 5 . Evaluate the Riemann sum of π using four subintervals and right endpoint sample points, giving your answer to six decimal places.

Q2:

Let π ( π₯ ) = 1 2 π₯ over the interval 1 β€ π₯ β€ 2 . Evaluate the Riemann sum of π using four subintervals and right endpoint sample points, giving your answer to six decimal places.

Q3:

Given π ( π₯ ) = 2 π₯ β 5 and β 6 β€ π₯ β€ 4 , evaluate the Riemann sum for π with five subintervals, taking sample points to be right endpoints.

Q4:

Given π ( π₯ ) = 2 π₯ β 1 and β 3 β€ π₯ β€ 2 , evaluate the Riemann sum for π with five subintervals, taking sample points to be right endpoints.

Q5:

Given π ( π₯ ) = π₯ β 3 and β 3 β€ π₯ β€ 2 , evaluate the Riemann sum for π with five subintervals, taking sample points to be right endpoints.

Q6:

Approximate the integral οΈ οΉ 3 π₯ β 5 π₯ ο π₯ 2 β 2 2 d using a Riemann sum with right endpoints. Take π to be 8.

Q7:

Approximate the integral οΈ οΉ π₯ β 4 π₯ ο π₯ 5 3 2 d using a Riemann sum with right endpoints. Take π to be 8.

Q8:

The table gives the values of a function obtained from an experiment. Use them to estimate οΈ π ( π₯ ) π₯ ο¨ ο ο© d using three equal subintervals with right endpoints.

Q9:

The table gives the values of a function obtained from an experiment. Use them to estimate οΈ π ( π₯ ) π₯ ο¨ ο« ο§ d using three equal subintervals with right endpoints.

Q10:

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