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📐 Mathematics  ·  Integrals  ·  JEE

Integration is the reverse of:

Answer: Differentiation.

  • A Addition
  • B Differentiation
  • C Multiplication
  • D Subtraction

Correct answer: B. Differentiation

Explanation: Integration is the inverse operation of differentiation. If d/dx(F(x)) = f(x), then integral of f(x) = F(x) + C.

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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