# Exponential Fourier Transforms

Please see the attached file for the fully formatted problems.

In the two problems below find the exponential Fourier Transform of the given f(x) and write f(x) as a Fourier integral.

2)

2x+2a -a<x<0

f(x) = -2x+2a 0<x<a

0 |x|>a

The Fourier is of the type

(see attachment).

Please do this problem manually (without tables) and please show all work including integrations.

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#### Solution Preview

Here is the solution for this assignment also see attachments.

Note that the convention for the Fourier transform is:

F[f(x)] = integral ...

#### Solution Summary

Exponential Fourier Transforms are investigated.

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