The integral

Question:

The integral $\int \frac{\mathrm{dx}}{\mathrm{x}^{2}\left(\mathrm{x}^{4}+1\right)^{\frac{3}{4}}}$ equals :

  1. $-\left(x^{4}+1\right)^{\frac{1}{4}}+c$

  2. $-\left(\frac{x^{4}+1}{x^{4}}\right)^{\frac{1}{4}}+c$

  3. $\left(\frac{x^{4}+1}{x^{4}}\right)^{\frac{1}{4}}+c$

  4. $\left(x^{4}+1\right)^{\frac{1}{4}}+c$

Correct Option:

Solution:

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