Question

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

• A. \((\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)
• B. \(({x^4+1})^{\frac{1}{4}}+C\)
• C. \(-({x^4+1})^{\frac{1}{4}}+C\)
• D. \(-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)

Answer 1

The Correct Option is D

The correct option is (D):

\(-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C\)