There's an unnormalized Hydrogen Atom's Wave Function:
Where x is a variable, e is the euler number, and a is a constant (In this case: Bohr's Atomic Radius [53 pm])
Second, you also have to know that in Hydrogen Atom, we use Spherical Coordinate where the Normalization Factor must be determined by the following operation:
Where N is the normalization factor, Ψ and Ψ* is the wave function and dτ is the derivative for spherical coordinate that can be expanded as follows:
Now, Let's calculate it.
To make an easier calculation, let's separate those integrals.