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📐 Mathematics  ·  Integrals  ·  JEE

Evaluate: integral from 0 to pi/2 of cos x dx

Answer: 1.

  • A 0
  • B 1
  • C pi/2
  • D pi

Correct answer: B. 1

Explanation: [sin x] from 0 to pi/2 = sin(pi/2) - sin(0) = 1 - 0 = 1.

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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