This is similar to a problem in the textbook. After a foreign substance is introduced into the blood, the rate at which antibodi
es are made is modeled by f(t)=19t3t2+7 where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0≤t≤10. Assuming that there are no antibodies present at time t=0, find the total number of antibodies in the blood at the end of 10 minutes. Round your answer to two decimal places.