Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to find an approximated value of the area under a curve using left endpoint approximation.

Q1:

The table shows the values of a function obtained from an experiment. Estimate οΈ π ( π₯ ) π₯ ο§ ο ο« d using three equal subintervals with left endpoints.

Q2:

Given that π ( π₯ ) = 4 π₯ c o s and that 0 β€ π₯ β€ π 4 , evaluate, to the nearest six decimal places, the Riemann sum for π with six subintervals, taking the sample points to be left endpoints.

Q3:

Given that π ( π₯ ) = π₯ c o s and that 0 β€ π₯ β€ 4 π 3 , evaluate, to the nearest six decimal places, the Riemann sum for π with six subintervals, taking the sample points to be left endpoints.

Q4:

Given that π ( π₯ ) = 4 π₯ c o s and that 0 β€ π₯ β€ 3 π 5 , evaluate, to the nearest six decimal places, the Riemann sum for π with six subintervals, taking the sample points to be left endpoints.

Q5:

Given that π ( π₯ ) = π₯ c o s and that 0 β€ π₯ β€ π 2 , evaluate, to the nearest six decimal places, the Riemann sum for π with six subintervals, taking the sample points to be left endpoints.

Q6:

The table shows the values of a function obtained from an experiment. Estimate οΈ π ( π₯ ) π₯ ο¨ ο¬ ο¨ d using three equal subintervals with left endpoints.

Q7:

The table shows the values of a function obtained from an experiment. Estimate οΈ π ( π₯ ) π₯ ο¨ ο ο© d using three equal subintervals with left endpoints.

Q8:

The table shows the values of a function obtained from an experiment. Estimate οΈ π ( π₯ ) π₯ ο§ ο¦ οͺ d using three equal subintervals with left endpoints.

Donβt have an account? Sign Up