**Description**

I have noticed that the stable REST API doesn't have the ability to run a task (which is possible from the airflow web interface.
I think it would be nice to have either:
- Run task 
- Run all failing tasks (rerun from point of failure)
this ability for integrations.

**Use case / motivation**

I would like the ability to identify the failing tasks on a specific DAG Run and rerun only them.
I would like to do it remotely (non-interactive) using the REST API.
I could write a script that run only the failing tasks, but I couldn't find a way to "Run" a task, when I have the task instance ID.

**Are you willing to submit a PR?**

Not at this stage

**Related Issues**



airflow/api_connexion/schemas/task_instance_schema.py
"""Task instance schema"""
    task_id = fields.Str()
    dag_id = fields.Str()
    execution_date = fields.DateTime(validate=validate_istimezone)
    start_date = fields.DateTime(validate=validate_istimezone)
    end_date = fields.DateTime(validate=validate_istimezone)
    duration = fields.Float()
    state = TaskInstanceStateField()
    _try_number = fields.Int(data_key="try_number")
    max_tries = fields.Int()
    hostname = fields.Str()
    unixname = fields.Str()
    pool = fields.Str()
    pool_slots = fields.Int()
    queue = fields.Str()
    priority_weight = fields.Int()
    operator = fields.Str()
    queued_dttm = fields.DateTime(data_key="queued_when")
    pid = fields.Int()
    executor_config = fields.Str()
    sla_miss = fields.Nested(SlaMissSchema, default=None)
    def get_attribute(self, obj, attr, default):
        if attr == "sla_miss":
            
            
            
            slamiss_instance = {"sla_miss": obj[1]}
            return get_value(slamiss_instance, attr, default)
        return get_value(obj[0], attr, default)
class TaskInstanceCollection(NamedTuple):