(a) Construct ψ2 (x).
(b) Sketch ψ0, ψ1, and ψ2.
(c) Check the orthogonality of ψ0, ψ1, and ψ2, by explicit integration. Hint: If you exploit the even-ness odd and old-ness of the function, there is really only one integral left to do.
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