$\left(ar-2<x<-1$
$24$ Find a Fourier series for the function defined by $f\left(x\right)= \begin{cases} 0 \\ k \\ 0 \end{cases} $ $0r-1<x<1$ 1,
$6r$ $1<x<2$
25.Find the Fourier series of the function $f\left(x\right)=\left(0,-1<x<0$
$K,$ $0<x<1$
26.For a function f(x) defined $byf\left(x\right)=|\times |,^{.1}<x<1$ obtain a Fourier series
$\pi <x<0$
27.Findthe Fourier series of the function $f\left(x\right)=x+\pi $ $-\pi <x$ $x-\pi 0<x<\pi $
$28.$ Find the $ha1\left(=$ range sine series for the function $f\left(x\right)= \begin{cases} x.0\leq x\leq % \\ \pi -x,%\leq x\leq \pi \end{cases} $
29.Findthe Fourier series of the function $f\left(x\right)= \begin{cases} -1\leq x\leq 0 \\ x \\ x+2,0\leq x\leq 1 \end{cases} $
$30.1$ Find the $na11-+$ range sine series for the function $f\left(x\right)=x,0<x<\pi $