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The value of $\int_0^{\infty} \dfrac{1}{1+x^2} dx + \int _0^{\infty} \dfrac{\sin x}{x} dx$ is

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