Part c
Express your final answer in terms of \( x \) by substituting back \( u = ax \) into your result from part (b) and including the constant of integration \( C \).
Part b
Evaluate the integral \( \int \frac{u^2 – 1}{\sqrt{u^2 – 4}}\,du \) by using the substitution \( u = 2\cosh(t) \) (with \( u \ge 2 \)) and express your final answer in terms of \( x \) (recalling that \( u = x-1 \)).