00:01
So the question is right as a single integral in the form a to b fx, dx.
00:06
So there are three integrals given.
00:08
We will combine them and form a single definite integral.
00:12
So i'm approaching this problem in two different ways.
00:15
One is graphically and the other way i will do is algebra rightly.
00:20
If i have to do it graphically, let's put these upper and lower bounds.
00:25
So it starts from negative 2 and i can see negative 1.
00:31
There is two also, it's a lower bound in the second integral, and five.
00:38
Let fx be represented by this curve.
00:43
So if i read the first integral, let's start from negative 2 to 2 fx tx.
00:48
That means it's area under this curve from negative 2 to 2.
00:52
This is the area that represents the first integral.
00:59
The second one is from 2 to 5 fx tx.
01:03
So that that is represented by this region.
01:08
So area of the second region is this one.
01:12
So we have to add those.
01:14
As you can see, there's plus sign.
01:16
So that means it will end up having the area of this big region.
01:21
If i add first to integral, this is area.
01:25
But the next, the last one is minus.
01:28
So we are subtracting the third one.
01:30
It starts from negative 2.
01:32
It ends at negative 1...