Hi, can you review w/ my homework. THANKS

Math methods (Fourier Analysis)

- Find the Fourier series of the given function f (x), which is assumed to have the period 2?.

Show the details of your work.

?(?) = ? , ?? ? ?

The counter series should be CO fox ) = do + I ( an cosny +. by Sinnx) 1=K= 1, 2,3... AT= 27 Fourier Coefficients. fexl dx an = fex) cosux dx 1-1,23.. . (ex) Sin hix dx V=1, 2, 3 ..:. ITFOUIER SERIES f ( x ) = X , - TTC X [ , IT ] f ( x ) = do + ( an Cos nix + bn Sin NTT x 2 IT n = 1 IT WHERE ao = TT ( f (x) dx f ( x ) - [ -T , T ] - 17 an= IT Jf ( ) Cos nTix dy ao = 1 T S f ( x ) dx - TT - T bn = S f ( ) Sin max dx an = - SS () Cos NITX dk - T T -T bn =- Sfux) Sin NITX dx T Now ao IT S f ( x )dx - TI IT S x dx J f ( ) dx = 0 - T X O = 0