Using the Electrical Engineering Made Easy APP at https://www.tinspireapps.com/?a=ELEME or the Transforms Made Easy APP at https://www.tinspireapps.com/?a=TRAME just enter any Function in the t Domain as shown below and its Fourier Transform is displayed below.

Here is another example:

For Functions multiplied by u(t) , select option 6 as shown below

and enter your function as shown below followed by u(t) or u(t-1) etc

To find Inverse Fourier Transforms of common functions f(w), select option 1 :

You will see a listing of common functions f(w) that can be entered, make sure you enter as shown below:

Here is an example showing how to find the inverse of 1/(a+j*w) , it is important to enter the j*w instead of jw :


