In order to write the function given above as a Fourier series expansion, the following is required:

$$ Note: show the integral solutions in detail.

$1-$Calculate the coefficient A$(0).$

$2-$Calculate the coefficients A$(1),$ A$(2),$ A$(3),$ A$(4),$ A$(5),$ A$(6),$ A$(7),$ A$(8)$ and A$(9).$

$3-$Calculate the coefficients B$(1),$ B$(2),$ B$(3),$ B$(4),$ B$(5),$ B$(6),$ B$(7),$ B$(8)$ and B$(9).$

$4-$Using the coefficients you calculated above, write the Fourier series expansion of the function f$($t$).$

$5-$Draw the graphical distribution of f$($t$)$ on the frequency axis.