What does ∫510w'tdt represent.
The change in child’s weight in pounds from the age 5 to the age 10.
The Net Change theorem: The integral of a rate of change is the net change.
Consider the integral,
∫510w'tdt;w't representsthe rate of growth of a child in pounds per year.
By using the Net Change theorem,
The integral ∫510w'(t)dt represents the net change in a child’s weight between the age 10 and age 5.
Therefore, integral ∫510w'(t)dt represent the net change in child’s weight in pounds between the age 10 and age 5.