A classical mechanics problem by pawan dogra

Find the normalization constant A.

\({\psi}(x)\) = A( \( \frac{1}{\sqrt{10}}{\psi}_{1}(x)\)+\( \frac{2}{\sqrt{5}}{\psi}_{2}(x)\) )

Assumptions \({\psi}_{1}(x)\) , \({\psi}_{2}(x)\) are mutually orthogonal.

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