Question:

The integral \(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\) equals_____.

Updated On: May 21, 2024
  • \((\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)
  • \(({x^4+1})^{\frac{1}{4}}+C\)
  • \(-({x^4+1})^{\frac{1}{4}}+C\)
  • \(-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)
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The Correct Option is D

Solution and Explanation

The correct option is (D):
\(-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)
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