||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
a0,an,bn,n =var('a0,an,bn,n')

# f(x) is neither even nor odd as seen by the figure
an=2/pi*(integral(x*cos(n*x),x,-pi/2,pi/2)+integral((pi-x)*cos(n*x),x,pi/2,3*pi/2))
a0=1/(pi)*(integral(x,x,-pi/2,pi/2)+integral(pi-x,x,pi/2,3*pi/2))
print 'a0=',a0
print 'an=',an
bn=2/pi*(integral(x*sin(n*x),x,-pi/2,pi/2)+integral((pi-x)*sin(n*x),x,-pi/2,3*pi/2))
print 'bn=',bn

#Plotting the function
x=var('x')
f1=function('f1',x)
f1=x
f2=function('f2',x)
f2=pi-x
f1.plot(xmin=-pi/2,xmax=pi/2)+f2.plot(xmin=pi/2,xmax=3*pi/2)

/* code_ends */

 * '''Solution by''': 
   * Snehal Mitragotri, Ex-student, IIT Roorkee
   * Aashita Kesarwani, Student, IIT Roorkee
   * Tale PrafullKumar, Student, IIT Roorkee