dividing integrals using vpaintegral and syms

i'm supposed to do this

and i wrote

syms x r

G=vpaintegral(x*r,0,1)/vpaintegral(r,0,1) % supposed to be approximately =0.45

Y=1/2*vpaintegral(r^2,0,1)/vpaintegral(r,0,1) % supposed to be approximately =0.43

a=0;b=1;

and the result displayed is

G =2.0*vpaintegral(r*x, x, 0, 1)

Y =0.33333333333333333391157449199227

Answer 1

[Alan Stevens]

If f(r) = r and you are integrating wrt r (implied by your yG integral) then x = r and xG = 2/3 and yG = 1/3. If you are expecting something different it means you haven't yet specified x in terms of r..

[Opariuc Andrei]

oh,yeah , i forgot to define the r function . thx :) ,now it functions.