Question: Normalize the following wave functions: (a) Sin (nx/L) in the range 0

Normalize the following wave functions:
(a) Sin (nπx/L) in the range 0 <; x <; L, where n = 1, 2, 3, ...,
(b) A constant in the range -L <; x <; L,
(c) e-x/a in three-dimensional space,
(d) xe r/12a in three-dimensional space. Hint: The volume element in three dimensions is dτ = r2dr sin θ dθ dθ, with 0 <;r < , 0 < θ <π, 0 <π, 0 θ <;2π.
Use the integral in Example 8.4.

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