### Home > PC > Chapter 2 > Lesson 2.3.6 > Problem 2-143

2-143.

Suppose we want to find the area under the function

*f*(*x*) = 2on the interval 1 ≤^{x}*x*≤ 3. Homework Help ✎Sketch a graph of the curve shading the area of the region you are to find.

If left-endpoint rectangles are used will the estimate be too low or too high. Justify your answer.

If you used right-endpoint rectangles to estimate the area, will that estimate be too low or too high. Justify your answer.

Use your program to find an estimate using 20 left- and right-endpoint rectangles.

Too low, as rectangles will be under the curve.

Too high, as rectangles will be above the curve.

Left = 8.360, Right = 8.960