Wavefunction normalization, probability

A particle is described by the wavefunction
¦×(x) = A Cos (2¦Ðx/L) for -L/4 ¡Ü x ¡Ü L/4
0 otherwise

(a) Determine the normalization constant A.
(b) What is the probability that the particle will be found between x = 0 and x = L/8 if a measurement of its position is made?

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... (1.1)
In our case this becomes:


Thus, equation (1.2) becomes: