Fourier Transform - Rectangular Function Help

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The discussion centers on a user's request for guidance on solving a Fourier Transform problem involving a rectangular function. The user is struggling to understand how to apply the Fourier Transform definition to the function X(t) = 5Rect((t+2)/4) due to a lack of theoretical instruction from their teacher. They seek clarity on how to incorporate the constants and the shifted argument in their calculations. Other participants suggest following similar steps as outlined in resources like Wikipedia to tackle the problem. The conversation emphasizes the importance of understanding the rectangular function's properties in the context of the Fourier Transform.
soharca
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1. Hi! I am new at this forum, and english is not my native language,
so, I hope I can make myself clear. A teacher send us a list of activities,
but he did not give us the theory about it (the theoretical class). So, I have
read a few things on the internet and I have solved some exercises. I want
to clearly state that I don't pretend to anyone do the exercise, but if you could
guide me, I will appreciate.

X(t)= 5Rect((t+2)/4)

Homework Equations



F(ω)=int^{\∞}_{-\∞}f(t)e^{jwt}dt (Fourier Transform definition)

Rect(t)=Rect(t)={(A ,if-t/2≪τ≪t/2 (Rectangular function definition)
0,if other)

The Attempt at a Solution



I just need to know how to start.
I don't know where to substitute the 5 or the (t+2)/4Sorry to bother.
And thank you very much.
 
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