To compute the area between two curves f(x) and g(x) where f(x) ≥ g(x) for all x in [a, b], which integral setup is correct?

To compute the area between two curves f(x) and g(x) where f(x) ≥ g(x) for all x in [a, b], which integral setup is correct?

• A. ∫(a to b) (f(x) − g(x)) dx
• B. ∫(a to b) (g(x) − f(x)) dx
• C. ∫(a to b) (f(x) + g(x)) dx
• D. |∫(a to b) f(x) dx| − |∫(a to b) g(x) dx|

Answer: A) ∫(a to b) (f(x) − g(x)) dx

Explanation: The correct formulation for the area between curves is the integral of the upper curve minus the lower curve: ∫ (upper − lower) dx.