Calculate the expected value for r^2 for the 2s wavefunction of the hydrogen atom (only the radial part of the function is needed for l=0). If you choose to solve this problem graphically, plot or sketch the function you integrate.
R(r)=1/sqrt(2a^3)*(1-r/2a)*e^(-r/2a) where a=bohr radius
The Attempt at a Solution
to calculate, i know you integrate (from 0 to inf) as follows: int((R(r))^2*r^2 dr),
but i'm having trouble solving the integral. I'm not sure how I would solve it graphically either.
Any help is appreciated. Thanks