Normalize the following wavefunctions: (i) sin(nx/L) in the range 0xL, where n=1, 2, 3, (this wavefunction

Normalize the following wavefunctions: (i) sin(nπx/L) in the range 0≤x≤L, where n=1, 2, 3, … (this wavefunction can be used to describe delocalized electrons in a linear polyene), (ii) a constant in the range –L≤x≤L, (iii) e^−r/a in three-dimensional space (this wavefunction can be used to describe the electron in the ion He⁺), (iv) xe^−r/2a in threedimensional space.