### Home > PC > Chapter 2 > Lesson 2.3.5 > Problem 2-127

2-127.

Write down the sums (but DO NOT add them up) that you would use to estimate the area

*A*(2, 1 ≤^{x}*x*≤ 4) using six intervals and: Homework Help ✎Left-hand endpoints.

Right-hand endpoints.

Trapezoids.

Find the width.

Draw the graph and label.

left − hand approximation = 0.5(2^{1} +2^{1}.5 + 2^{2} + 2^{2}.5 + 2^{3}.5)

Be careful with the start and end heights!

Draw all of the trapezoids. Then calculate the area for each.