evaluate-the-integral-dxx225intfracdxsqrtx2-25-x-and-gt5x-and-gt5

Question

Evaluate the integral: ∫dxx2−25\int\frac{dx}{\sqrt{$$x^2 - 25$$}}, 5"\u003ex\u003e5x\u003e5

Accepted Answer

cosh⁡−1(x5)+C\$$cosh^{-1}$$\left(\frac{x}{5}\right)+C

Answer

15sinh⁡−1(x5)+C\frac15\$$sinh^{-1}$$\left(\frac{x}{5}\right)+C

Answer

sinh⁡−1(x5)+C\$$sinh^{-1}$$\left(\frac{x}{5}\right)+C

Answer

15cosh⁡−1(x5)+C\frac15\$$cosh^{-1}$$\left(\frac{x}{5}\right)+C

Evaluate the integral: ∫dxx2−25\(\int\]\frac{dx}{\sqrt{x^2 - 25}\)}, x>5x>5