Final answer:
Goodwill and trademarks are examples of intangible assets with indefinite useful lives; copyrights and patents have finite durations.
Step-by-step explanation:
The intangible assets with indefinite useful lives referred to in the question include goodwill and trademarks. Copyrights, while they can last for a long time, do not have indefinite useful lives; similarly, patents also have a finite duration, typically 20 years. Both copyrights and patents eventually expire, whereas trademarks can be renewed indefinitely as long as they are in use and maintain their distinctiveness.
In the context of intellectual property rights, these assets represent ownership over non-physical ideas, concepts, or images. Goodwill, which is not protected by intellectual property law, represents the value of a company's brand name, solid customer base, good customer relations, good employee relations, and any patents or proprietary technology.