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JEE Math Practice Question

If $f(x)=\int \frac{1}{x^{1 / 4}\left(1+x^{1 / 4}\right)} \mathrm{d} x, f(0)=-6$, then $f(1)$ is equal to :

  1. A.$4\left(\log _{\mathrm{e}} 2-2\right)$
  2. B.$\log _{e^2} 2+2$
  3. C.$2-\log \mathrm{e}^2$
  4. D.$4\left(\log _e 2+2\right)$

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