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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Definite Integration

NDA 2012 · Mathematics · Definite Integration

What is ∫_0^1 ^ -1 x 1+x^2 d x equal to?

What is ∫01tan⁡−1x1+x2dx\int_0^1 \frac{\tan ^{-1} x}{1+x^2} d x equal to?

Options

  1. Aπ28\frac{\pi^2}{8}
  2. Bπ232\frac{\pi^2}{32}
  3. Cπ4\frac{\pi}{4}
  4. Dπ8\frac{\pi}{8}

Correct answer

B. π232\frac{\pi^2}{32}

Step-by-step solution

The correct answer is option B.
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