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JEE Math Practice Question

The integral $$\int {{{2{x^3} - 1} \over {{x^4} + x}}} dx$$ is equal to : (Here C is a constant of integration)

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

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