**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)

client = aws_stack.connect_to_service('apigateway')
        response = client.create_rest_api(name='my_api', description='this is my api')
        rest_api_id = response['id']
        # test 
        try:
            client.get_(restApiId=rest_api_id, Name='fake')
            self.fail('This call should not be successful as the  is not created.')
        except ClientError as e:
            self.assertEqual(e.response['Error']['Code'], 'NotFoundException')
    def test_put_integration_dynamodb_proxy_validation_without_response_template(self):