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Determine the constant N in terms of a


The wave function of a particle is given by \(\psi(x)=N / \left(x^{2}+a^{2}\right),\) where \(N\) and \(a\) are constants. The function is defined along the real axis \([-\infty, \infty] .\) (a) Determine the constant \(N\) in terms of \(a\). (b) What is the probability of finding the particle inside the interval \([-a, a] ?\)

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