Riemann Stieltjes Integral help!

1. Feb 24, 2010

prudens2010

Code (Text):

Let f =

x, for 0<=x<=1
1, for 1<x

alpha =

x^2, for 0<=x<=1
1, for 1<x

Find Integral (f) d(alpha) -- from 0 to 23

pls help!

2. Feb 24, 2010

Newtime

Use the definition of the R-S integral. The answer should pop right out unless I'm missing something. Where does the problem lose you?

3. Feb 24, 2010

mathman

This case easily translates into an ordinary Riemann integral.
dα = 2xdx, 0≤x≤1
dα = 0, x>1