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