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📐 Mathematics  ·  Integrals  ·  JEE

The upper and lower limits in a definite integral are written:

Answer: At the top and bottom of the ∫ symbol.

  • A As exponents attached directly to the ∫ symbol
  • B At the top and bottom of the ∫ symbol
  • C Inside the integrand alongside the function f(x)
  • D Immediately after the dx differential term

Correct answer: B. At the top and bottom of the ∫ symbol

Explanation: In definite integral, limits appear at top (upper) and bottom (lower) of the integral symbol ∫.

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

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