**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)

self.assertEqual(content.get('requestContext', {}).get('resourceId'), api_resource['id'])
        self.assertEqual(content.get('requestContext', {}).get('stage'), self.TEST_STAGE_NAME)
        self.assertEqual(content.get('body'), '{"param1": "foobar"}')
        # delet
        rs = apigw_client.delete_integration(
            restApiId=api_id,
            resourceId=api_resource['id'],
            httpMethod='GET',
        )
        self.assertEqual(rs['ResponseMetadata']['HTTPStatusCode'], 200)
        with self.assertRaises(ClientError) as ctx:
            # This 
            apigw_client.get_integration(
                restApiId=api_id,
                resourceId=api_resource['id'],
                httpMethod='GET'
            )
        self.assertEqual(ctx.exception.response['Error']['Code'], 'BadRequestException')
        
        lambda_client = aws_stack.connect_to_service('lambda')
        lambda_client.delete_function(FunctionName=lambda_name)
        apigw_client.delete_rest_api(restApiId=api_id)
    def test_api_gateway_handle_domain_name(self):
        domain_name = '%s.example.com' % short_uid()
        apigw_client = aws_stack.connect_to_service('apigateway')
        rs = apigw_client.create_domain_name(
            domainName=domain_name
        )
        self.assertEqual(rs['ResponseMetadata']['HTTPStatusCode'], 200)
        rs = apigw_client.get_domain_name(