FOURIER SERIES f(x)=e^(-x) x=0 to 2pi

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) = (pi-x)/2  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(2pi-x) ST (2 p...  
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)=-k x=-pi to 0 ...  
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)=x-x^2  -pi to ...  
f(x) = e^(-x) in (x=0 to 2Π) -    • FOURIER SERIES f(x)=e^(-x) x=0 to 2pi  
f(x) = x^2 in (x= - Π to Π) Find Π^2/6 Π^2/8 Π^2/12 -    • FOURIER SERIES f(x)=x^2 in x=-pi to p...  
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)  = √1-cos x  in ...  
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) = -1 x= - pi to...  
Change of interval: f(x) = (2x-x^2) in (0 3) -    • FOURIER SERIES Change of interval f(x...  
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) = pix  x=0 to 1 p...  
f(x) = e^(-|x|) x (- Π to +Π) -    • FOURIER SERIES  f(x) = e^-|x|  x= - p...  
f(x) = |cos x| x (-Π to +Π) -    • FOURIER SERIES f(x) = |cos x|  in int...  
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+(2x/pi)  (x=-p...  
half range cosine: f(x) = 2t (t=0 to 1) 2(2-t) (t=1 to 2) -    • Fourier half range cosine series: f(x...  
half range cosine series : f(x)=x sinx (x=0 to Π) -    • Fourier half range cosine series : f(...  
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 sine series : f(x)...  
half range cosine series : f(x)=kx (x=0 to l/2) : k(l-x) (x=l/2 to 1) -    • Fourier half range cosine series : f(...  
Harmonic Obtain the constant first coefficients of cosine and sine terms of y given in the table -    • Fourier Harmonic Obtain the constant ...  
Harmonic Obtain first three coefficients of fourier cosine series of y given in the table -    • Fourier / Harmonic /Obtain first thre...  
Harmonic Obtain first FOUR fourier sine series of turning moment T and calculate T(75) -    • Fourier / Harmonic / Obtain first FOU...  
Harmonic Obtain the direct current path as 0.75A and calculate the amplitude of the first harmonic -    • Fourier Harmonic Obtain the direct cu...  
Parseval identity - Obtain the Fourier series of x^2. Deduce Π^4/90 = 1/1^4+1/2^4 + 1/3^4+... -    • Parseval identity - Obtain the Fourie...  
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 - Fourier series f(...  
Find the complex form of Fourier series of f(x)=e^-x in x = -1 to +1 -    • Find the complex form of Fourier seri...  
Find the Fourier series of f(x)= x^3 in x = Π - to + Π -    • Find the Fourier series of f(x)= x^3 ...  
Find the Fourier series of f(x)= x in (x = 0 to 3) / (6-x) in (x = 3 to 6) -    • Find the Fourier series of f(x)= x   ...  
FORMULAE - USED IN FOURIER SERIES -    • FORMULAE - USED IN FOURIER SERIES  
Find the half range cosine series of f(x) = 2x-1 x=0 to 1 -    • FOURIER : Find the half range cosine ...  
FOURIER: Obtain the constant first coefficients of cosine and sine terms of y given in the table -    • FOURIER: Obtain the constant first co...