0:00
Hello.
00:01
So here, i'm giving lorentz curve is given by the equation, y is equal to x times e to the x minus 1.
00:11
Now, the genie index is going to be given by two times the integral from 0 to 1 of, well, x minus f of x dx.
00:23
So that's going to be x minus x times e to the x to the x minus.
00:30
Dx.
00:32
Okay.
00:32
So then we can find the indefinite integral.
00:36
Here we can do this by integration by parts.
00:38
So we're going to be letting you be equal to x.
00:42
And then we have that dv is going to be equal to then e to the x minus 1 dx.
00:50
So then therefore, d .u is just going to be equal to dx.
00:55
And v is, well, the integral here is, again, going to be just e to the x minus 1.
01:00
Minus 1...