Q228 / 270 · NDA 2012 (Phase 2) · Mathematics

What is $\int_0^1 \frac{\tan ^{-1} x}{1+x^2} d x$ equal to?

  • A
    $\frac{\pi^2}{8}$
  • Correct answer
    B
    $\frac{\pi^2}{32}$
  • C
    $\frac{\pi}{4}$
  • D
    $\frac{\pi}{8}$

Solution

The correct answer is option B.

Hence, the correct answer is option: 'B'.

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