g Determine the area of the region between the two curves by integrating over the x-axis. y = x2 − 24 and y = 1

A = 166.66

Step-by-step explanation:

You have the following functions:

In order to calculate the area of the given region, you first calculate the points at which the function y = x^2-24 intersects the line y=1:

Next, you take into account that the area between the two function is given by:

Where you have used the fact that y2 is above the y1 function.

Next, you calculate the following integral:

Then, the area of the bounded region is 166.66

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.