Find Fourier series of f(x)=0, in (-pi ,0), sin x,in(0,pi) hence find 1 by 1.3+1 by 3.5+1 by 5.7+...

In this video i have explained the Fourier series for a function in the interval (-pi,pi).
Example of Fourier series in the interval(0,2\pi) in explained in the following link.
   • #Fourierseries, #interval(0.2\pi), #P...  
In the following link, I have explained, to find inverse Z-transform by using Partial fraction Method.
   • #InverseZtrasnsform || Find inverse Z...  
Fourier series || example of Fourier series in the interval (-\pi,\pi)
   • Fourier series || example of Fourier ...  
Find the FS of f(x)=x^2 in (0,2l).Hence deduce that 1 by1^2+1 by2^2+ 1 by 3^2+...
   • #Fourier_series  Find the FS of  f(x)...  
Find the Fourier series expansion of f(x)= x+x^{2} in (-pi,pi)
   • #Fourierseries || Find the Fourier se...  
Find the Fourier series f(x)= 1+x+x^{2} in (-pi,pi) and the value of 1 by 1^2+1 by 2^2+1by3^2+...
   • Find the Fourier series  f(x)= 1+x+x^...  
Find the Fourier series of f(x)=sqrt{ 1-cos x} in (0,2pi) and find 1 by 1.3+1 by 3.5+1 by 5.7+ ...
   • Find the Fourier series of f(x)=sqrt{...