Question

Calculus problem: A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug in the bloodstream given by

S = 40
`x^{(19)/(7) }` − 560
`x^{(12)/(7) }` + 1960
`x^{(5)/(7) }`

where x is in hours and 0 ≤ x ≤ 7. Find the average number of milligrams of the drug in the bloodstream for the first 7 hours after a capsule is taken. (Round your answer to the nearest whole number.)

Solution: _____ mg

Answer 1

Explanation:

You can find your answer by taking integral from 0 to 7 and then dividing it by 7.