91Ó°ÊÓ

Answer: To find the net change in a quantity using definite integrals, you need to follow these steps: 1. Understand that a definite integral represents the signed area under the curve of a function over a specific interval. 2. Define the rate of change function, R(x), which represents the derivative of the quantity with respect to the variable x. 3. Apply the Fundamental Theorem of Calculus, which states that Q(b) - Q(a) = ∫[a,b] R(x) dx, where Q(x) is the antiderivative of the rate of change function R(x). 4. Integrate the rate of change function R(x) over the interval [a, b] to find the net change in the quantity: Net Change = ∫[a,b] R(x) dx. 5. Interpret the result, understanding that a positive value represents an increase in the quantity and a negative value represents a decrease in the quantity over the interval [a, b].