The following table shows the rate of water flow (in L/min) through a dam.

t (min)135791113
V'(t) (L/min)104795410


Approximate the total volume of water that passed through the dam from t=1\displaystyle {t}={1} to t=13\displaystyle {t}={13} using Simpson's rule, with n=6\displaystyle {n}={6}.

  liters