find the fourier series of f(x)=x^2+x+1

Question

amistre64 · Answer

ugh ... ive sat down and watched a video on this for hours and it never sank in lol

anonymous · Answer

:'(

anonymous · Answer

give me the ved

anonymous · Answer

have to pass  the exam lol

amistre64 · Answer

its an mit lecture .. with a chalkboard :)  let me see if i can locate it

amistre64 · Answer

http://freevideolectures.com/Course/2252/The-Fourier-Transform-and-its-Applications fine, its was stanford but we wont fault them for it :)

anonymous · Answer

ok ok lol

amistre64 · Answer

i found it to be pretty cool, but nothing stuck :/

anonymous · Answer

really ?
well my prof was cool when he explain it xD
but i totally forget it

anonymous · Answer

basically i need to find x
then expand for some a_n
and try to find pattern

amistre64 · Answer

yeah ... basically lol

amistre64 · Answer

imma gonna have to see if i can download it and make some popcorn ....

anonymous · Answer

haha lolz xD

anonymous · Answer

well ty for help :)

tkhunny · Answer

1) It's neither an even function nor an odd function, so it's not going to be pretty.
2) The Domain of this function is $(-\infty,\infty)$.  This is quite a problem for Fourier.  Any particular range you would like to repeat in some periodic fashion?

anonymous · Answer

welli solve it wew !
it took me alote of time xD

tkhunny · Answer

Really, what periodic assumptions did you make and what was your result?

anonymous · Answer

x=2 sin x-sin 2x +2/3 sin 3x -1/2 sin 4x ....
1=1
x^2=pi^2/3- 4 cos x + cos 2x - 4/9 cos 3x +1/4 cos 4 x+ ...