Let
Use a Riemann sum with four subintervals of equal length to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.

__________ sq units

Repeat previous part with eight subintervals of equal length .

__________ sq units

Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?

Question

Let  ​
Use a Riemann sum with four subintervals of equal length  to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
​
__________ sq units
​
Repeat previous part with eight subintervals of equal length  .
​
__________ sq units
​
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?

Quizplus · Accepted Answer

The Answer of Let  ​
Use a Riemann sum with four subintervals of equal length  to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
​
__________ sq units
​
Repeat previous part with eight subintervals of equal length  .
​
__________ sq units
​
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?

Let ​ Use a Riemann Sum with Four Subintervals of Equal Length

Let Use a Riemann Sum with Four Subintervals of Equal Length