Solving an integer with FFT in matlab

[ser23]

Homework Statement

Hi, I hope someone could help me, I have been trying to solve this problem with FFT in matlab, why?, because my teacher gave it as homework. The problem is the following.

Obtain the value of the following integer using FFT:

Homework Equations

the integer goes from [-infinte, infinite], and the function is x^2*exp(-x^2)*dx

The Attempt at a Solution

I checked the definition of the Fourier transform and I checked in books, MATLAB everywhere and I can't find any info that could help me, I hope someone here can, THANK YOU.

 

[EngageEngage]

I'm pretty new to the transform but I have been doing some FFTs in MATLAB lately and this is what I've been doing:

first you have to find the amplitudes with:

Y = fft(...)

then you have to do the inverse FFT to find your answer:

y = ifft(..)

check the help system for the arguments and i think you'll see how to do it.

 

[oswaler]

Hello,

Using the FFT in matlab to solve this problem is a valid approach. The first step would be to discretize the function using a set of equally spaced points, as the FFT algorithm requires a discrete input. Next, you would take the FFT of the discretized function, which would give you another function in the frequency domain. From there, you can use the inverse FFT to obtain the solution in the time domain. However, it is important to note that the FFT is typically used for solving differential equations and may not be the most efficient method for solving this specific problem. It would be helpful to consult with your teacher or a TA for guidance on the specific approach they are expecting for this homework assignment. Good luck!