Answer:
∫ xe³ˣ dx
Step-by-step explanation:
The first integral can be solved with u substitution (u = ln x).
The third integral can be solved with a Pythagorean identity (cot²x = csc²x − 1).
The fourth integral can be solved with a power reduction formula (cos²x = ½ + ½ cos(2x)).
Only the second integral requires integration by parts.
