(a)[5]
Find the value of $\displaystyle \int \frac{1 + \cos^4 2x}{\cos^2 2x}\,dx$.
(b)[5]
Without using a calculator, find the exact value of $\displaystyle \int_4^{14} \left(2 + \frac{6}{3x - 2}\right) dx$, and give the result in the form $\ln(ae^b)$, where $a$ and $b$ are integers.