Answer
See explanation.
Work Step by Step
The quantity $|\Psi(x,t)|^2$ is a probability distribution function. Since the probability of finding the particle somewhere in all of space must be one, that is the same as saying that the quantity $\int |\Psi(x,t)|^2 dx=1$.
In other words, the integral must be finite, and The quantity $|\Psi|^2$ is a probability distribution function. Since the probability of finding the particle somewhere in all of space must be one, that is the same as saying that the quantity $\Psi$ is said to be normalized.