What is the value of A in Ψ=Acos^2(x) for a particle's wave function?

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Hamza Abbasi
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Homework Statement


The wave function of a certain particle is Ψ= A cos^2(x) for -π/2 < x < π/2. Find the value of A.

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The Attempt at a Solution


My answer is coming out to be zero wheres as the correct answer is under root 8/3π ... Please help me out !
 
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You're going to need to show your work, otherwise we have no idea where you've made a mistake.
 
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i have used pi/4 instead of pi/2 ignore that pls