Kinetic energy measurement in a non-normalizable state

[jalobo]

At a given moment, the wave function of a particle is in a non-normalizable state $$\Psi$$(x) = 1 + sin²(kx). By measuring its kinetic energy, what values are possible and with what probability?.

 

[LowlyPion]

At a given moment, the wave function of a particle is in a non-normalizable state $$\Psi$$(x) = 1 + sin²(kx). By measuring its kinetic energy, what values are possible and with what probability?.

The idea of Homework Help is to help, not do.

What have you done?
What formulas do you think apply?
How have you tried to solve it?

But that said I think your question is more appropriate for
https://www.physicsforums.com/forumdisplay.php?f=154