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ISI2021-MMA: 13

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Let $D$ be the triangular region in the $xy$-plane with vertices at $(0,0), (0,1)$ and $(1, 1).$ Then the value of $$ \iint_{D} \frac{2}{1 + x^{2}} dx dy$$ is

  1. $\frac{\pi}{2}$
  2. $\frac{\pi}{2} – \ln 2$
  3. $ 2 \ln 2$
  4. $\ln 2$
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