Question:medium

The integral $\int \frac{dx}{x(x^4 + 1)} =$

Show Hint

For integrals of the form $\int \frac{dx}{x(x^n+1)}$, the result is always $\frac{1}{n}\ln\left|\frac{x^n}{x^n+1}\right| + C$.
Updated On: May 31, 2026
  • $\frac{1}{4} \ln \left| \frac{x^4}{x^4 + 1} \right| + C$
  • $\frac{1}{4} \ln \left| \frac{x^4 + 1}{x^4} \right| + C$
  • $\ln \left| \frac{x^4}{x^4 + 1} \right| + C$
  • $\ln \left| \frac{x^4 + 1}{x^4} \right| + C$
Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?
0

Top Questions on integral

Questions Asked in AP EAPCET exam