00:01
So let us start with the concept which we are going to use here for this question.
00:08
So we have to use the trapezoidal rule to approximate the given integral from minus 4 to 6, 1 over 4 e to the power minus x square dx.
00:25
So trapezoidal rules up to five intervals can be given as, first of all let me find it out, the first reading is minus 4, second reading is 6 means lower and upper limit.
00:37
State size given by del x is equals to b minus of a by 2, sorry b minus of a by interval that is n.
00:47
So this should be equals to 6 minus minus 4 by 5, so it will become 10 by 5 that is 2.
00:54
So in clear way i can find it out, a should be equals to minus 4 comma minus 2 comma 0, 2 comma 4 comma 6 which is equals to b.
01:05
So these are the five intervals.
01:08
So let us find first f of x naught which will be equals to f of a and that will be goes to f of minus 4 that is the first term.
01:19
So this should become equals to 1 over 4 to the power 16.
01:23
I am just plugging up here the value in the plus or minus.
01:27
So that should be equals to 2 .81337933 into 10 to the power minus of 8 whatever it may be.
01:39
In similar way i can find 2 into f of x1 that should be equals to 2 f of x1 is what minus 2.
01:48
So this should be equals to 1 over 2 e to the power 4 will comes out 0 .00915781 and it is so on we no need that one.
01:59
Then 2 f of x2 this will be equals to 2 f of x2 is what 0.
02:06
So this should become equals to 1 over 2 that is 0 .5...