Inverse Fourier Transforms Using the Transformation Tables

 

Example 1 

Example 2 

 

Example 1:

 

Using Heaviside Cover Up method we calculate the coefficients:

 

Substituting the coefficients and continuing the inverse Fourier transform we have:

 

 

Example 2:

 

Using Heaviside Cover Up method we calculate the coefficients:

 

Substituting the coefficients and continuing the inverse Fourier transform we have: