How do you find moment generating function?

[semidevil]

I have absolutly no idea how to do this.

so let X be a random variable with pdf fx(xy) =
x for 0<=x<=1
2 - x for 1 <= 1 <= 2
0 otherwise.

I"m looking through my book, and it doesn't give examples that resembles this.

all I see is the moment is e^(tk) * the function...

and tI don't know what to do when it comes to my problem.

is it the integeral from 0 to 1 of e^(tk) * x + the integeral from 1 to 2 of e^tk * 2 - x?

 

[Dr.ThinkDeep]

If you mean int(e^(t*k) *x,x= 0 .. 1) + int(e^(t*k) * (2-x),x=1 ..2) you are right.