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24-01-2024
Mathematics

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Find the Fourier Transform of the function f(x) = 2a - |x| for |x| < 2a and f(x) = 0 for |x| > 2a. Then, use the result and Parseval's theorem to evaluate the integral ∫-⁰^⁰ sin⁴(ka)k⁴ dk.

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