00:01
We want to calculate the definite integral for this function.
00:08
So how do we do this? we are only interested for mod of x, right? why? because we don't know.
00:20
So we will just understand first the mod of x how to integrate it.
00:24
So we will just try to integrate it.
00:28
So this is how we integrate.
00:29
So integration of mod of x t x, from limit a to b, that will give us, you can say, if x is greater or equals to 0, right? this is possible because when x is equal to or greater than 0, then only x can be positive.
00:55
And the second scenario comes is it is minus x.
00:58
Okay.
01:00
So if this could be possible if and only if x is less than 0.
01:08
So how do we do this? we will just divide the limits into two parts.
01:14
Like here minus 1 to 2 is given, right? so let us let us suppose here now.
01:23
We have a line here.
01:25
Let us have x -axis.
01:26
Let us suppose it.
01:28
So this is minus 1.
01:31
This is plus 1 and this is plus 2.
01:34
This is how it is represented.
01:36
I'm just talking about the concept.
01:40
So that's why.
01:41
So this area from minus 1 to between 0, this area will be x will be less than 0.
01:51
That means the value comes out to be minus x only.
02:00
Right.
02:00
And for this one, this is 0, right? this is still 2.
02:05
This is 0...