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

To find the area between the curve and the x-axis, we need to integrate the function from the lower limit to the upper limit. In this case, the curve is a straight line, which can be represented as y = 2x - 7.

The lower limit is x = 2 and the upper limit is x = 3. So, we need to find:

∫[2,3] (2x - 7) dx

= [x^2 - 7x] from x = 2 to x = 3

= (3^2 - 7(3)) - (2^2 - 7(2))

= 9 - 21 -4 + 14

= -2

The area between the curve and the x-axis is negative, which means that the curve lies below the x-axis in this interval. Therefore, we need to take the absolute value of the result, which is 2.

The answer is C because 11ea984b_b11f_024c_9029_85d3afdbce9f_TB4005_11 is the absolute value of -2.

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