Accept the quest from the Outpost. An “Undying Bear” has attacked some campers and it needs to be taken down. Head to the marked location to get the shotgun of the mission. This bear's pelt is used to make the extend rucksack so you can carry up to 96 items inside it. Take the path to the right of the Outpost and you will have little trouble finding the marker location to gear up.
The Hunt:
Head to the Southeast from the gear up location, going up the slope. Follow the path right into the cave that is at the cap of it. Use some Hunter's Instinct to see the bear well in advance as it is the only creature inside the cave. Approach it quietly and aim for its head with the first blast. Remember, you do not want not to get close else it will literally rip you apart.
