00:01
In this question, we have to use the method of midpoint of rectangles to approximate the area under the curve of the function fx equivalent to x square minus 2x plus 4 from x equal to 3 to x equal to 30.
00:17
And the value of n is given to be 5.
00:20
Now, to solve this, this function can be written as x minus 2 whole square.
00:27
So the fx is x minus 2 whole square.
00:30
Now we will have to make intervals from x equal to 3 to x equal to 13.
00:36
So let's draw a graph and consider the points.
00:40
Suppose this is point 3.
00:42
Okay? now from x equal to 3 to 13.
00:47
So 4, 5, 6, 7, 8, 9, 10.
00:55
Let's make this line a bit bigger.
01:00
11, 12, 13.
01:03
So from x equal to 3 to 13, and we have n equal to 5.
01:07
That is, we have to make 5 intervals.
01:10
So let's consider intervals...