Answer: area.
- A area
- B slope
- C tangent
- D derivative
Correct answer: A. area
Explanation: A definite integral evaluates the area bounded by the curve and the x-axis.
The definite integral ∫ₐᵇf(x)dx computes the exact area of the shaded region bounded by the curve, the x-axis, and the vertical lines x=a and x=b - the same idea behind the Riemann sum, but evaluated exactly rather than approximated by rectangles.
Concept context
Using definite integrals to compute the area under a curve, the area between two curves, and the areas enclosed by standard curves like circles, parabolas, and ellipses.