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Find the Fourier transform of f(x) = e2/(202) Hint: Complete the square in the z terms in the exponent and make the change of variable y = 2 + o²ia. Use tables or computer to evaluate the definite integral.

Find the Fourier transform of f(x) = e2/(202) Hint: Complete the square in the z terms in the exponent and make the change of variable y = 2 + o²ia. Use tables or computer to evaluate the definite integral.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please sove this using notaion if given Fourier transforms

21. Find the Fourier transform of f(x) = e22/(202) Hint: Complete the square in the =e z terms in the exponent and make the change of variable y = 2+o²ia. Use tables or computer to evaluate the definite integral. .
Transcribed Image Text:21. Find the Fourier transform of f(x) = e22/(202) Hint: Complete the square in the =e z terms in the exponent and make the change of variable y = 2+o²ia. Use tables or computer to evaluate the definite integral. .
on of Fourier Transforms We state without proof (see plausibility below) the formulas corresponding to (12.1) for a continuous rang es. f(x) = 1 9(a)eiaz da, x g(a) = 2/1/7 f(a)e-ioz dr. 2п www. ∞
Transcribed Image Text:on of Fourier Transforms We state without proof (see plausibility below) the formulas corresponding to (12.1) for a continuous rang es. f(x) = 1 9(a)eiaz da, x g(a) = 2/1/7 f(a)e-ioz dr. 2п www. ∞
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