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By the odd extension method applied to the function f (x) = e¯2x, wherex > 0, the Fourier integral of f(x) is given by

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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Question

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find the forier integral of f(x)

By the odd extension method applied to the
function f (x) = e-2x, wherex > 0, the Fourier
integral of f(x) is given by

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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