00:01
In this question, the given here, that is integration.
00:05
So we have to do the process of the given integration part.
00:10
And then we can conclude that either the given integration is divergent or convergent.
00:24
So we have to conclude this one.
00:26
Now let come to the solution here.
00:33
So let us take that, that is the given integration, that is i is equal to.
00:38
Integral limit 1 to infinity and here 1 divided by x which one is multiplied by x square plus 2 which is with respect to d x so here we are using the partial differentiation that is partial fraction fraction then we can write this integration as 1 divided by x multiply x square by 2 which is equal to a divided by x plus b x plus c divided by x divided by x squared plus 2.
01:21
So let us assume that this is equation number 1 and this one is equation number 2 here.
01:30
Now let us equate here after class multiplication, then we will get that is 1 is equal to a multiply by x square plus 2 and plus b and x plus c multiply by x here so this is equation number three and here we will get the x value and that x value put in equation number three then we will get that is 1 is equal to a of 0 plus 2 then 2a is equal to 1 from this that is implied a is equal to 1 divided by 2 so now, here let us subput this a value in equation number 3...