**Overview**

In AWS it is possible to trigger step functions through an API Gateway integration, see https://docs.aws.amazon.com/step-functions/latest/dg/tutorial-api-gateway.html

Similar integrations already occur within localstack, however the step function URIs are notably missing. See lines 66-88 of https://github.com/localstack/localstack/blob/master/localstack/services/apigateway/apigateway_listener.py



┆Issue is synchronized with this [Jira Bug](https://localstack.atlassian.net/browse/LOC-107) by [Unito](https://www.unito.io/learn-more)

queue_name = 'queue-%s' % short_uid()
        aws_stack.create_sqs_queue(queue_name)
        
        result = connect_api_gateway_to_sqs('test_gateway4', stage_name=self.TEST_STAGE_NAME,
            queue_arn=queue_name, path=self.API_PATH_DATA_INBOUND)
        
        test_data = {'spam': 'eggs'}
        url = gateway_request_url(
            api_id=result['id'], stage_name=self.TEST_STAGE_NAME, path=self.API_PATH_DATA_INBOUND)
        result = requests.post(url, data=json.dumps(test_data))
        self.assertEqual(result.status_code, 200)
        messages = aws_stack.sqs_receive_message(queue_name)['Messages']
        self.assertEqual(len(messages), 1)
        self.assertEqual(json.loads(base64.b64decode(messages[0]['Body'])), test_data)
    def test_api_gateway_http_integrations(self):