Understanding Fourier Transform: Tips and Tricks for Accurate Results

[Toyona10]

Hi guys~

I have got a few things about some Fourier transform Q/A that i wanted to check...so here you go:

1) Find the Fourier sine and cosine transform of f(x)=x 0<x<3

ok, for the sine, i get -9/n∏ but i get zero for cosine part, is it wrong?

and the second one:

find the Fourier transform of f(x)=x^2 -2<x<2

i know that we use the exponential (e^-inx) here and the answer i get is almost right but its just that i get 'i's along with my answer. How do i correct that??

thanks in advance~

 

[vela]

Hi guys~

I have got a few things about some Fourier transform Q/A that i wanted to check...so here you go:

1) Find the Fourier sine and cosine transform of f(x)=x 0<x<3

ok, for the sine, i get -9/n∏ but i get zero for cosine part, is it wrong?

Yes, it's wrong. Show your work so we can see where you went astray.

and the second one:

find the Fourier transform of f(x)=x^2 -2<x<2

i know that we use the exponential (e^-inx) here and the answer i get is almost right but its just that i get 'i's along with my answer. How do i correct that??

thanks in advance~

Do your algebra correctly. Again, you need to show your work.