What does the definite integral of a function f(x) from 'a' to 'b' geometrically represent when f(x) is non-negative over the interval [a, b]?

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C) The area under the curve of f(x) from x=a to x=b. Geometrically, the definite integral of a non-negative function between two points represents the area of the region bounded by the function's graph, the x-axis, and the vertical lines at those two points.

What does the definite integral of a function f(x) from 'a' to 'b' geometrically represent when f(x) is non-negative over the interval [a, b]?

✓ Correct Answer: Option C

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