00:01
In this question, we need to make use of the trapezium rule.
00:05
So, trapezium rule with four strips to evaluate the given integral with four strips we have to use.
00:16
And the integral i is given from 0 to 2.
00:20
And the function is 10x square minus 6x.
00:24
Okay.
00:25
So what i'm going to do? we know that first of all, let me list what is.
00:30
The trapezeum root.
00:32
So it says i equals to integral from x not to x not plus h, sorry, n times of h.
00:43
N is the number of strips here.
00:45
F of x, d x, is same as h over two times y not plus y n plus two times of y1 plus y2, so on, up till y n so this is how we calculate this.
01:04
Okay, here value of x not is given as zero and n is equals to four.
01:10
So what will be x not plus n h? so it will be 0 plus four times of h, which is equals to two.
01:18
So h comes out to be 0 .5.
01:21
Okay, so i will write here x1 which is x not plus h equals to 0 .5.
01:28
Then y one will be what, 10 times 0 .5.
01:32
Square minus six times 0 .5.
01:35
So this comes out to be equals to minus 0 .5...