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📐 Mathematics  ·  Integrals  ·  JEE

Evaluate: integral from 0 to 3 of 2 dx

Answer: 6.

  • A 2
  • B 4
  • C 6
  • D 8

Correct answer: C. 6

Explanation: Integral of 2 = 2x. Evaluate from 0 to 3: 2(3) - 2(0) = 6 - 0 = 6.

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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