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Interpretation of define integral as an area - class-XII

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Multiple Choice

The value of $\displaystyle \int _0^1\tan^{-1}\left (\frac {2x-1}{1+x-x^2}\right )dx$ is

  1. $1$
  2. $0$
  3. $-1$
  4. $\dfrac {\pi}{4}$
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