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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

∫ dx 1 - ^2 x = (1)/(λ) ^ -1 (λ x) + C , then λ =

∫dx1−tan⁡2x=1λsin⁡−1(λsin⁡x)+C\int \frac{dx}{\sqrt{1 - \tan^2 x}} = \frac{1}{\lambda} \sin^{-1}(\lambda \sin x) + C, then λ=\lambda =

Options

  1. A2\sqrt{2}
  2. B3\sqrt{3}
  3. C2
  4. D5\sqrt{5}

Correct answer

A. 2\sqrt{2}

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