Fourier integral representation of f(x) e^(-x) if x>0

 

sol:

Fourier integral representation of 

    

        

       

       

substitute (2) in (1) 

        

and

Is the integral representation of f(x)

verifying directly,

     

        

        

NOTE :

verifying indirectly ,

        

        

        

        

        

PDF COPY