00:01
In this question, we are given a function fx equals to 2 by x and we have been asked to find the trapezoidal sum approximation of the integral.
00:17
We have been given an integral in the question and we have to find the trapezoidal sum approximation of that integration.
00:27
So, the integral given in the question is limits 3 to x integral fx dx.
00:33
We have to find the trapezoidal sum approximation of this integration.
00:37
The information that is given in the question is we have 3 sub intervals of equal length.
00:50
So, we divide the given domain in 3 sub parts of equal length.
00:54
So, the length becomes 1 of each sub interval.
01:00
So, in the graph, our function would be something like this.
01:06
Let us assume our function something like this.
01:08
This is x equals to 3 and this is x equals to 6.
01:13
In order to divide, we have x equals to 4 over here and x equals to 5 over here.
01:18
So, we divide our main interval into 3 sub intervals and each interval would be evaluated something like this.
01:26
So, now we have to assume that this is not a curve but it actually forms a trapezium.
01:36
It actually does not form a trapezium but we have to assume like that and so we approximate our answer...