Word Count : 248

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We are asked to find (f(x)) given its Fourier cosine transform: [ F_c{f(x)} = \int_0^\infty f(x) \cos(\alpha x) , dx = \alpha^n e^{-a \alpha}. ] The inverse Fourier cosine transform formula is: [ f(x) = \frac{2}{\pi} \int_0^\infty F_c{f(x)} \cos(\alpha x) , ____ ___ __________ _______ _______ ___ ____ __________.
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