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1999

JEE Main 1999 Mathematics question on Definite Integrals and Areas

If for a real number yy, [y][y] is the greatest integer less than or equal to yy, then the value of the integral ∫π/23π/2[2sin⁡x] dx\int_{\pi/2}^{3\pi/2} [2\sin x]\, dx is
  1. A.
    −π-\pi
  2. B.
    00
  3. C.
    −π2-\dfrac{\pi}{2}
  4. D.
    π2\dfrac{\pi}{2}
Show answer

Correct option: C

[1999]

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