I. Evaluate the following integrals:
(1) \int \sin 2x \, dx
(2) \int (ax + b)^5 \, dx
(3) \int e^{4x-1} \, dx
(4) \int \sec^2(3x + 2) \, dx
(5) \int \frac{13x + 7}{ } \, dx
(6) \int \sqrt{2x - 1} \, dx
II. Evaluate the following integrals:
(1) \int \frac{dz}{\sqrt{5z + 4}}
(2) \int \frac{1}{(2 - x)^2} \, dx
(3) \int \frac{1}{\sqrt{x}(1 + \sqrt{x})^2} \, dx
(4) \int \frac{(1 + \sqrt{x})^3}{\sqrt{x}} \, dx
