Evaluate:
(i) `intcos e c^2(3x+2)\ dx`
(ii) `intsin(a x+b)cos(a x+b)\ dx`

Explanation

Let's solve the given integrals step by step.

### (i) Evaluate: \(\int \cos^2(3x + 2) \, dx\)

**Step 1: Use the substitution method.**
Let \( t = 3x + 2 \). Then, differentiate both sides to find \( dx \):
\[
dt = 3 \, dx \quad \Rightarrow \quad dx = \frac{dt}{3}
...