In problems 1 through 6 , determine the Fourier trigonometric series o

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In problems 1 through 6 , determine the Fourier trigonometric series of each function. f(x) = {1−p < x ≤ 01 /20 < x ≤ p f(x) = {x−2 < x < 02−x0 < x < 2 f(x) = x, −π < x < π f(x) = {x+π−π < x < 0 x−π0 < x < π f(x) = |x|, −π ≤ x ≤ π f(x) = x2, −1 < x ≤ 1

In problems 1 through 6 , determine the Fourier trigonometric series of each function. f(x) = {1−p < x ≤ 01 /20 < x ≤ p f(x) = {x−2 < x < 02−x0 < x < 2 f(x) = x, −π < x < π f(x) = {x+π−π < x < 0 x−π0 < x < π f(x) = |x|, −π ≤ x ≤ π f(x) = x2, −1 < x ≤ 1

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In problems 1 through 6 , determine the Fourier trigonometric series of each function.

$f (x) = {\begin{cases} 1 & - p < x \leq 0 \\ 1 / 2 & 0 < x \leq p \end{cases}$
$f (x) = {\begin{cases} x & - 2 < x < 0 \\ 2 - x & 0 < x < 2 \end{cases}$
$f (x) = x, - π < x < π$
$f (x) = {\begin{cases} x + π & - π < x < 0 \\ x - π & 0 < x < π \end{cases}$
$f (x) = | x |, - π \leq x \leq π$
$f (x) = x^{2}, - 1 < x \leq 1$

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