Why is the function must be normalize ? what is the meaning of

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why is the function must be normalize ? what is the meaning of normalization
I know it's ∫ψψ*=1 but what it mean ?
 
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It means the total probability is 1
 


It means that the probability of finding the particle someplace in the Universe must be exactly 1.
[edit] Oli4 just beat me to it.

We need to do this because it is often easier to work out the shape of the wave-function without worrying about keeping the probabilities in line at every step.
 


Okay thank you simon and oli4