We do support showing due tasks in the calendar (Agenda view) in the OWA My Day pane.
We are working on extending this functionality.
For now, you should be able to see the tasks that are due today in your “Planned” smartlist under the “Today” bucket.
An error occurred while saving the commentAndrew Schmitt commented
YES! This is illogical at best that "My Day" isn't automatically populated with Tasks that are due Today, and even Meetings from my Outlook Calendar!