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

/* code_begins */

{{{
r(t)=[cos(t),sin(t)]
var('x,y')
fr(x,y)=[-y,-x*y]
frt=fr(cos(t),sin(t))
dr=derivative(r,t)
print frt
diff(frt,t)
print r(t)
r(t)=(cos(t),sin(t))
print r(t)
dr=diff(r,t)
print dr
print dr
print frt
fr_dr=frt.dot_product(dr)

sol=integrate(fr_dr,t,0,pi/2)
sol=1/4*3.14-1/3
print sol
}}}

/* code_ends */

 * '''Solution by''': 
   * vsowjanya, faculty, cvr college of engineering
   * <Your Name>, <Profession>, <Organization>