1. The problem statement, all variables and given/known data The dye dilution is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=20te^(-0.6t), 0 =< t =< 10, where t is measured in seconds. Find the cardiac output. 2. Relevant equations Cardiac output is given by: F=A/[itex]\int[/itex][c(t) dt]010 where the amount of dye A is known and the integral can be approximated from the concentration readings. 3. The attempt at a solution In this case A=6 mg and c(t) = 20te^(-0.6t). I've been trying to estimate with a Riemann sum and/or Simpson's rule but I can't figure out how to get the integral in the correct form to estimate with. Wolfram alpha spits out 54.5916 using a Riemann sum, but the next problem in this packet (same setup with different dye amount) suggests I use Simpson's rule. When I plug values of 0->10 into the function I get weird values but I can't integrate it without an estimation technique.