1. The problem statement, all variables and given/known data ∫√(x^2 - t^2)dt/(xt) x > t > 0 2. Relevant equations 3. The attempt at a solution So I noticed that the integrand had the form a^2 - b^2x^2, and I can apply trig substitution, so I did this: t = xsin(θ), dt = xcos(θ), and therefore, x^2 - t^2 = x^2 - x^2sin(θ)^2. The last formula can be rearranged into x^2 cos(θ)^2 (From the identity 1 - sin(θ)^2) After simplification, I obtain the integral ∫cos(θ)^2 dθ/sinθ From here, I don't know where to go. After rearranging multiple times, there is no integral and I keep getting (cosθ) - ∫cscθdθ. Thank you for any clarity you can provide for me.