### Home > CALC > Chapter Ch3 > Lesson 3.4.4 > Problem 3-186

3-186.

Write a Riemann sum to estimate *A*(*f*, 5 < *x* < 13) for *n* left endpoint (or other) rectangles. Then calculate the area for *n* = 8, 20, and 50 rectangles. Which is most accurate and why? Homework Help ✎

Refer to hints in problem 3-177 for further guidance about computing a left-endpoint Riemann sum.

Without a calculator, it is more time consuming to compute a sum with 50 terms than with 8 terms. What is the benefit of using 50 terms?