Parseval identity - Obtain the Fourier series of x^2. Deduce Π^4/90 = 1/1^4+1/2^4 + 1/3^4+...

FOURIER SERIES LINKS
f(x) = (Π-x)/2 x= 0 to 2Π Deduce Π/4 = 1 - 1/3 + 1/5 - 1/7 + ... - • Fourier series of f(x)...
f(x) =x(2Π-x) x= 0 to 2Π Show that f(x) = 2 Π^2/3 - 4 = cos x + (cos 2x)/2^2 + (cos 3x)/3^2 + ... Deduce Π^2/8 = 1 - 1/3^2 + 1/5^2 - • Fourier series f(x) =x...
f(x) = (-k for x= - Π to 0)/(k for x=0 to Π) Deduce Π/4=1-1/3+1/5...- • Fourier series of f(x)...
f(x) = x-x^2 in (- Π to Π) Deduce Π^2/2 = 1+1/2^2 + 1/3^2+... - • Fourier series of f(x)...
f(x) = e^(-x) in (x=0 to 2Π) - • FOURIER SERIES f(x)=e^...
f(x) = x^2 in (x= - Π to Π) Find Π^2/6 Π^2/8 Π^2/12 - • FOURIER SERIES f(x)=x^...
f(x) = √1-cos x in (x=0 to 2Π) Find the value of 1/1*3 + 1/3*5 + 1/5*7 +... - • FOURIER SERIES: f(x) ...
f(x) = -1 (x= - Π to -Π/2) : 0 (x= - Π/2 to +Π/2) : 1 x=(+Π/2 to Π) - • FOURIER SERIES : f(x) ...
Change of interval: f(x) = (2x-x^2) in (0 3) - • FOURIER SERIES Change ...
f(x) = Πx (x=0 to 1) : Π(2-x) (x=1 to 2) Deduce Π^2/8 = 1 + 1/3^2 + 1/5^2 +... - • FOURIER SERIES f(x) = ...
f(x) = e^(-|x|) x (- Π to +Π) - • FOURIER SERIES f(x) =...
f(x) = |cos x| x (-Π to +Π) - • FOURIER SERIES f(x) = ...
f(x) = 1+(2x/Π) (x=-Π to 0) 1-(2x/Π) (x=0 to +Π) Deduce that Π^2/8 = 1 + 1/3^2 + 1/5^2 +... - • FOURIER SERIES: f(x)=1...
half range cosine: f(x) = 2t (t=0 to 1) 2(2-t) (t=1 to 2) - • Fourier half range cos...
half range cosine series : f(x)=x sinx (x=0 to Π) - • Fourier half range cos...
half range sine series : f(x)=1/4-x (x=0 to 1/2) : x-3/4 (x=1/2 to 1) - • Fourier half range sin...
half range cosine series : f(x)=kx (x=0 to l/2) : k(l-x) (x=l/2 to 1) - • Fourier half range cos...
Harmonic Obtain the constant first coefficients of cosine and sine terms of y given in the table - • Fourier Harmonic Obtai...
Harmonic Obtain first three coefficients of fourier cosine series of y given in the table - • Fourier / Harmonic /Ob...
Harmonic Obtain first FOUR fourier sine series of turning moment T and calculate T(75) - • Fourier / Harmonic / O...
Harmonic Obtain the direct current path as 0.75A and calculate the amplitude of the first harmonic - • Fourier Harmonic Obtai...
Parseval identity - Obtain the Fourier series of x^2. Deduce Π^4/90 = 1/1^4+1/2^4 + 1/3^4+... - • Parseval identity - Ob...
Parseval identity - Fourier series - Prove that in x=0 to l
x=(l/2) 4l/(Π^2)((((1/(1^2))(cosΠx/l))) + ....) Deduce Π^4/96 = 1/1^4+1/3^4 + 1/5^4+... • Parseval identity - Fo...
Find the complex form of Fourier series of f(x)=e^-x in x = -1 to +1 - • Find the complex form ...
Find the Fourier series of f(x)= x^3 in x = Π - to + Π - • Find the Fourier serie...
Find the Fourier series of f(x)= x in (x = 0 to 3) / (6-x) in (x = 3 to 6) - • Find the Fourier serie...
FORMULAE - USED IN FOURIER SERIES - • FORMULAE - USED IN FOU...
Find the half range cosine series of f(x) = 2x-1 x=0 to 1 - • FOURIER : Find the hal...
FOURIER: Obtain the constant first coefficients of cosine and sine terms of y given in the table - • FOURIER: Obtain the co...