Final answer:
An integrated router acting as a DHCP server typically provides a dynamic IP address, a default gateway, and DNS server addresses to client devices.
Step-by-step explanation:
When an integrated router functions as a DHCP server, it can provide several types of information to a client device. The three types of information that it can typically provide include a dynamic IP address, a default gateway, and DNS server addresses. The first piece of information, a dynamic IP address, is an IP address that is assigned to the client for a limited period of time. Secondly, the default gateway is the device that connects the local network to the internet, and the client needs to know this gateway's IP address to send traffic outside the local network. Lastly, DNS server addresses are provided so that the client can resolve domain names to IP addresses, which is essential for accessing websites and online services.