Use rectangles to find the area between and the x-axis from to
B)

Question

Use rectangles to find the area between  and the x-axis from  to  ​
B) ​

Quizplus · Accepted Answer

Using rectangles to approximate the area between the curve and the x-axis, we can divide the interval [11ea984b_b082_9be6_9029_2b1274afe244_TB4005_11, 11ea984b_b082_c2f7_9029_5d43fb79300c_TB4005_11] into equal subintervals, each with width of 1. Then, we can evaluate the function at the right endpoint of each subinterval and multiply the result by the width of the subinterval to obtain the area of the rectangle. Summing up the areas of all the rectangles gives a good approximation of the area between the curve and the x-axis. In this case, we have:

Area ≈ (4)(1) + (2)(1) + (1.5)(1) + (1)(1) + (0.5)(1) = 9

Therefore, the best choice is C, 11ea984b_b082_ea0a_9029_2d46b45f1f15_TB4005_11, as it is closest to 9.

Use Rectangles to Find the Area Between and the X-Axis