Once you have taken over the Rust Yard head to its bulletin board to find this quest waiting for you. By skinning and crafting the hide of this animal Jason will be able to make the largest munitions pouch
Head to the Southwest of the Rust yard over to the small islet on the nearby river. Just across the river you will easily find the hut where the bow and arrows are. Head there and grab them. Now, if you have some, use Hunter's Instinct. If not, it is recommended that you craft some and use it. There are a few tapirs on the island but the one you are looking for is laying down on the far Western end. Approach it directly from the West. It will take at least 2 arrows to drop it. After that, skin and collect your reward.
This white-bellied variety of the harmless pig-like mammal appears as part of the Bow Hunt: White Belly Tapir Path of the Hunter mission. Tapirs are harmless and won't attack and don't need any special strategy to take down. Where to find the White Belly Tapir: Look for the quest near Rust Yard on the North Island. Once activated, you'll see the tapir's location on the island to the south.