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

/* code_begins */

{{{
t=var('t')
a=vector([5*t,t*t,t*t*t])
r=vector([t,t,t])
r1=diff(r,t)
print r1
x=a * r1
print x
y=integrate(x,(t,0,1))
print y
p=vector([t,t,t*t])
r2=diff(p,t)
print r2
z=r2 * a
print z
b=integrate(z,(t,0,1))
print b
}}}

/* code_ends */

 * '''Solution by''': 
   * <sai krishna>, <student>, <prakasam engineering college>
   * <raghavendra.t>, <student>, <prakasam engineering college>
   * <lakshminarayana>, <student>, <prakasam engineering college>
   * <pavan kumar>, <student>, <prakasam engineering college>
   * <raghavendra.b>, <student>, <prakasam engineering college>
   * <siva kumar>, <student>, <prakasam engineering college>