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JEE Math Practice Question

$$\int {{{\left\{ {{{\left( {\log x - 1} \right)} \over {1 + {{\left( {\log x} \right)}^2}}}} \right\}}^2}\,\,dx} $$ is equal to

  1. A.$${{\log x} \over {{{\left( {\log x} \right)}^2} + 1}} + C$$
  2. B.$${x \over {{x^2} + 1}} + C$$
  3. C.$${{x{e^x}} \over {1 + {x^2}}} + C$$
  4. D.$${x \over {{{\left( {\log x} \right)}^2} + 1}} + C$$

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