Ασκηση με ορισμενο ολοκληρωμα

Δινεται f:(1,+\infty)\rightarrow \mathbb{R} με τυπο f(x)=ln(x+\sqrt{x^2-1})

1) Να υπολογιστει η παραγωγος της f

2) Να υπολογιστει το ολοκληρωμα I= \int_{\sqrt{2}}^{2}\frac{dx}{\sqrt{x^2-1}}.

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