## Question

###### 1 Find the Fourier series of flx) = e-x cos X,-T<x Stt its periodic with period ZTt: With help of this formula: ax eax cOS bx dx (a cos bx + b sin bx 1 a2 + b2 ax eax sin bx dx (a sin bx b cos bx ) a2 + b2cos X cos nx(cos(1 +n) x + cos(1 _ n)x) 2cos x sin nx(sin(1 + n) x - sin(1 _ n) x) 2

1 Find the Fourier series of flx) = e-x cos X,-T<x Stt its periodic with period ZTt: With help of this formula: ax eax cOS bx dx (a cos bx + b sin bx 1 a2 + b2 ax eax sin bx dx (a sin bx b cos bx ) a2 + b2 cos X cos nx (cos(1 +n) x + cos(1 _ n)x) 2 cos x sin nx (sin(1 + n) x - sin(1 _ n) x) 2

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