Question

The physical interpretation of ∫ f(x) dx is ______.

Options

• The slope of the curve f(x) at a point

• The area under the curve f(x) versus (x)

• The maximum value of f(x)

• The rate of change of f(x)

Answer 1

The physical interpretation of ∫ f(x) dx is the area under the curve f(x) versus (x).

Explanation:

Integration gives the total area enclosed between the curve f(x), the x-axis, and the given limits. This is its direct physical interpretation.