Tasks in Gmail have been a widely used feature. I personally have not taken to Gmail Tasks due to various reasons. Mostly I have not been a fan of tasks because, really, what good is a task without a reminder?
With the introduction of Inbox by Gmail, there have been a great deal of inquiries, and complaints for that matter, regarding Task implementation in Inbox. My usual answer to them is, short of migrating existing tasks into Inbox, tasks already exist in Inbox with Reminders.
There are multiple ways of creating reminders in the Google ecosystem. I have covered those intricacies in another post here. This post is essentially meant to show how Reminders are to Inbox what Tasks are to Gmail, and a whole lot more.
Reminders take Tasks to an entire new level by bringing the task back to your attention at either a specific time or location - and it can do this once or on a repeating schedule. Reminders in Inbox take it even one step further by providing suggestions as you enter your reminder. Type in Call Mom, and mom's phone number will be added to the reminder. Type in a reminder to purchase something at a specific store, the open or closed status may appear. And with some more common reminders, Inbox will automatically add an identifying icon such as a phone for calls or a calendar icon for something like paying taxes.
Reminders in Inbox are slowly being integrated in the Google Calendar system. As of this writing, if you have an Android, Inbox reminders will be displayed on your Calendar App. It has been reported that this feature will be coming to the iOs Google Calendar app as well.. One can only assume that this will eventually make its way into the web Calendar as well.
As I mentioned earlier, other than migrating existing tasks, there is no real need to integrate Gmail Tasks with Inbox by Gmail. Unfortunately other than manual re-entry there does not seem to be a way to get existing Gmail Tasks into Inbox by Gmail.
The implementation of the Reminders in Inbox make staying organized, and getting things done, just that much easier.