(Solved): Please do both parts A and B 2. (a) Use the substitution \( u=\ln (2 x) \) to transform the antider ...

Please do both parts A and B

2. (a) Use the substitution \( u=\ln (2 x) \) to transform the antiderivative \[ \int \frac{(\ln (2 x))^{2}}{x} \mathrm{~d} x \] into a new integral that uses the variable \( u \). (Show all your work as described in number two (2) of the (b) Find the original antiderivative. (Show all your work as described in number four (4) of the