30 ____ \ ` \ / / n \ n \ \ |3*\(-1) - 1/*cos(pi*n*x) (-1) *sin(pi*n*x)| ) |------------------------- - -----------------| / | 2 2 2*pi*n | / \ 2*pi *n / /___, n = 1
Sum(((3*((-1)^n - 1))*cos((pi*n)*x))/(((2*pi^2)*n^2)) - (-1)^n*sin((pi*n)*x)/((2*pi)*n), (n, 1, 30))
6*cos(5*pi*x) 6*cos(7*pi*x) 6*cos(11*pi*x) 6*cos(13*pi*x) 6*cos(17*pi*x) 6*cos(19*pi*x) 6*cos(23*pi*x) 6*cos(25*pi*x) 6*cos(29*pi*x) 2*cos(3*pi*x) 2*cos(9*pi*x) 2*cos(15*pi*x) 2*cos(21*pi*x) 2*cos(27*pi*x) sin(2*pi*x) sin(3*pi*x) sin(5*pi*x) sin(7*pi*x) sin(9*pi*x) sin(11*pi*x) sin(13*pi*x) sin(15*pi*x) sin(17*pi*x) sin(19*pi*x) sin(21*pi*x) sin(23*pi*x) sin(25*pi*x) sin(27*pi*x) sin(29*pi*x) sin(4*pi*x) sin(6*pi*x) sin(8*pi*x) sin(10*pi*x) sin(12*pi*x) sin(14*pi*x) sin(16*pi*x) sin(18*pi*x) sin(20*pi*x) sin(22*pi*x) sin(24*pi*x) sin(26*pi*x) sin(28*pi*x) sin(30*pi*x) -6*cos(pi*x) - ------------- - ------------- - -------------- - -------------- - -------------- - -------------- - -------------- - -------------- - -------------- - ------------- - ------------- - -------------- - -------------- - -------------- ----------- - sin(pi*x) - ----------- - ----------- - ----------- - ----------- - ------------ - ------------ - ------------ - ------------ - ------------ - ------------ - ------------ - ------------ - ------------ - ------------ + ----------- + ----------- + ----------- + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ + ------------ 25 49 121 169 289 361 529 625 841 3 27 75 147 243 2 3 5 7 9 11 13 15 17 19 21 23 25 27 29 4 6 8 10 12 14 16 18 20 22 24 26 28 30 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2*pi 2*pi
(-6*cos(pi*x) - 6*cos(5*pi*x)/25 - 6*cos(7*pi*x)/49 - 6*cos(11*pi*x)/121 - 6*cos(13*pi*x)/169 - 6*cos(17*pi*x)/289 - 6*cos(19*pi*x)/361 - 6*cos(23*pi*x)/529 - 6*cos(25*pi*x)/625 - 6*cos(29*pi*x)/841 - 2*cos(3*pi*x)/3 - 2*cos(9*pi*x)/27 - 2*cos(15*pi*x)/75 - 2*cos(21*pi*x)/147 - 2*cos(27*pi*x)/243)/(2*pi^2) - (sin(2*pi*x)/2 - sin(pi*x) - sin(3*pi*x)/3 - sin(5*pi*x)/5 - sin(7*pi*x)/7 - sin(9*pi*x)/9 - sin(11*pi*x)/11 - sin(13*pi*x)/13 - sin(15*pi*x)/15 - sin(17*pi*x)/17 - sin(19*pi*x)/19 - sin(21*pi*x)/21 - sin(23*pi*x)/23 - sin(25*pi*x)/25 - sin(27*pi*x)/27 - sin(29*pi*x)/29 + sin(4*pi*x)/4 + sin(6*pi*x)/6 + sin(8*pi*x)/8 + sin(10*pi*x)/10 + sin(12*pi*x)/12 + sin(14*pi*x)/14 + sin(16*pi*x)/16 + sin(18*pi*x)/18 + sin(20*pi*x)/20 + sin(22*pi*x)/22 + sin(24*pi*x)/24 + sin(26*pi*x)/26 + sin(28*pi*x)/28 + sin(30*pi*x)/30)/(2*pi)
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n