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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

∫_0^ 3 ( (1)/(2) (d)/(dx) ( ^ -1 (2x)/(1-x^2) ) ) dx equals to :

∫03(12ddx(tan⁡−12x1−x2))dx\int_0^{\sqrt{3}} \left( \frac{1}{2} \frac{d}{dx} \left( \tan^{-1} \frac{2x}{1-x^2} \right) \right) dx equals to :

Options

  1. Aπ3\frac{\pi}{3}
  2. B−π6-\frac{\pi}{6}
  3. Cπ2\frac{\pi}{2}
  4. DNone of these

Correct answer

B. −π6-\frac{\pi}{6}

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