week_3 quiz.py

from sympy import Symbol,Limit
from sympy import pprint
t=Symbol('t')
St=5*t**2+2*t+8
t1=Symbol('t1')
delta_t=Symbol('delta_t')
St1=St.subs({t:t1})
St1_delta=St.subs({t:t1+delta_t})
Limit((St1_delta-St1)/delta_t,delta_t,0).doit()
from sympy import symbol,exp,sqrt,pi,Integral
x=Symbol('x')
p=exp(-(x-10)**2/2)/sqrt(2*pi)
Integral(p,(x,11,12)).doit().evalf()
#pprint(p)