var('t')
a=0;b=1
A(t)=10000*e^(0.03*t)
AVERAGE=1/(b-a)*integral(A,t,a,b)
print "AVERAGE amount in the account=", AVERAGE
BONUS=0.01*AVERAGE
print "BONUS=", BONUS
AVERAGE amount in the account= t |--> 10151.5113178
BONUS= t |--> 101.515113178390
AVERAGE amount in the account= t |--> 10151.5113178
BONUS= t |--> 101.515113178390