00:01
In this question, we are asked to sketch the region whose area is represented by the given interval, and then calculate the area of that region using geometry.
00:15
First of all, recall that any definite interval represents the area below the given function and over the x -axis.
00:27
Well, sorry, in general, it represents the assigned area below the below and above the x -axis.
00:38
And if it's above the x -axis, it comes with a positive sign.
00:40
And if it's below, it comes with a negative sign.
00:44
In our case, the function is y equals to x plus 2.
00:50
And the graph of y equals x plus 2 is simply y equals x shifted to unit up.
00:58
So this is a graph of y equals to x plus 2.
01:02
And limits of iteration give us the limits for the region.
01:07
The region starts at x equals 0 and it ends at x equals 5.
01:13
So here is 5 and here is the region of iteration.
01:19
Everything above the x -axis and below the line...