Subject Quantum Mechanics.  Wave function normalization and superposition of solutions. Wavel functions, ψ1 and ψ2 both normalized. Find a relationship between A and B such that the superposition Aψ1 + Bψ2 is also a normalized solution.

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Subject Quantum Mechanics.  Wave function normalization and superposition of solutions.

Wavel functions, ψ1 and ψ2 both normalized.

Find a relationship between A and B such that the superposition Aψ1 + Bψ2 is also a normalized solution.

I'm having trouble with the integral of |Aψ1 + Bψ2|2 dx.  

Thank you!

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