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## Homework Statement

[tex]V(x) = k|x|, x \in [-a,a], V(x) = \infty, x \notin [-a,a][/tex]. Evaluate the ground state energy using the variational method.

## Homework Equations

[tex]a = \infty[/tex] and [tex]\psi = \frac{A}{x^{2}+c^{2}}[/tex].

## The Attempt at a Solution

[tex]1 = |A|^{2}\int_{-a}^{a}\frac{1}{(x^{2}+c^{2})^{2}}\,\text{d}x.[/tex] Is this a correct way to start? How can I calculate this? I used Mathematica, but it only gives some weird-looking answers.

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