Expand f(x)=sin x, in (0, pi) 0, in (pi,2pi) as a Fourier series & find 1by1.3+1by3.5+1by5.7+...

Find the half range cosine of f(x)= x(pi-x) in (0,pi). Hence find series 1 by1^4+1by2^4+1by 3^4+...
   • Find the half range cosine of f(x)= x...  
Find the Fourier series of f(x)=sqrt{ 1-cos{x}} in (-pi , pi
   • Find the Fourier series of f(x)=sqrt{...  
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{...  
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 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+...
   • Find Fourier series of f(x)=0, in (-p...