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

/* code_begins */

{{{
a0,an,n =var('a0,an,n')
# f(x) is even as seen by the figure
an=2/pi*(integral(-2*x*cos(n*x),x,-pi,0)+integral(2*x*cos(n*x),x,0,pi))
a0=1/(pi)*(integral(-2*x,x,-pi,0)+integral(2*x,x,0,pi))
print 'a0=',a0
print 'an=',an

#Plotting the function
x=var('x')
f1=function('f1',x)
f1=2*x
f2=function('f2',x)
f2=-2*x
f1.plot(xmin=-pi,xmax=0)+f2.plot(xmin=0,xmax=pi)
}}}

/* code_ends */

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