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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If [ · ] denotes the greatest integer function, then the integral...

If [⋅][ \cdot ] denotes the greatest integer function, then the integral ∫0π/2esin⁡x−[sin⁡x]d(sin⁡2x−[sin⁡2x])\int_0^{\pi/2} e^{\sin x - [\sin x]} d(\sin^2 x - [\sin^2 x]) is λ\lambda, then [λ−1][\lambda - 1] is equal to :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

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