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📐 Mathematics  ·  Integrals  ·  JEE

Definite integral represents:

Answer: Area under the curve between two points.

  • A The slope of the tangent line at the upper limit
  • B Area under the curve between two points
  • C The instantaneous rate of change at a single point
  • D The maximum value attained by the function on the interval

Correct answer: B. Area under the curve between two points

Explanation: A definite integral calculates the exact area under a curve between two x-values.

xyabArea = integral of f(x) dxRectangles approximate the area (Riemann sum)

The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.

Concept context

Indefinite and definite integrals, areas under curves

Read the full Integrals notes →