evaluate-the-indefinite-integral-dxxx61-int-fracdxxx6-1

Question

Evaluate the indefinite integral: ∫dxx(x6+1) \int \frac{dx}{$$x(x^6 + 1$$)}

Accepted Answer

16ln⁡∣x6x6+1∣+C\frac{1}{6}\ln\left|\frac{$$x^6$$}{$$x^6 + 1$$}\right|+C

Answer

112ln⁡∣x6x6+1∣+C\frac{1}{12}\ln\left|\frac{$$x^6$$}{$$x^6 + 1$$}\right|+C

Answer

6ln⁡∣x6x6+1∣+C6\ln\left|\frac{$$x^6$$}{$$x^6 + 1$$}\right|+C

Answer

16ln⁡∣x6+1x6∣+C\frac{1}{6}\ln\left|\frac{$$x^6+1$$}{$$x^6$$}\right|+C

Evaluate the indefinite integral: ∫dxx(x6+1) \(\int\) \(\frac{dx}{x(x^6 + 1)}\)