evaluate-the-indefinite-integral-6xx24-dx-int-frac6xsqrtx2-4dx

Question

Evaluate the indefinite integral: ∫6xx2−4 dx \int \frac{6}{x\sqrt{$$x^2 - 4$$}}\,dx

Accepted Answer

3sec⁡−1∣x2∣+C3\$$sec^{-1}$$\left|\frac{x}{2}\right|+C

Answer

3sec⁡−1∣2x∣+C3\$$sec^{-1}$$\left|\frac{2}{x}\right|+C

Answer

13sec⁡−1∣x2∣+C\frac13\$$sec^{-1}$$\left|\frac{x}{2}\right|+C

Answer

3cos⁡−1∣x2∣+C3\$$cos^{-1}$$\left|\frac{x}{2}\right|+C

Evaluate the indefinite integral: ∫6xx2−4dx \(\int\) \(\frac{6}{x\sqrt{x^2 - 4}\)}\,dx