The conversation between human and AI assistant.
How does one integrate [math]\displaystyle \int\dfrac{1}{\sqrt{x^2-1}}\,dx?[/math]
Okay, so how do I integrate [math]\sec \theta[/math]?
You can use the fact that [math]\sec \theta = \frac{1}{\cos \theta}[/math]. Then you can multiply the numerator and denominator by [math]\sec \theta + \tan \theta[/math], and use the substitution [math]u = \sec \theta + \tan \theta[/math].