feat(apigateway): integrate with aws services in a different region

packages/@aws-cdk/aws-apigateway/README.md

@@ -157,6 +157,17 @@ book.addMethod('GET', getBookIntegration, {
 });
 ```
 
+It is possible to also integrate with AWS services in a different region. The following code integrates with Amazon SQS in the
+`eu-west-1` region.
+
+```ts
+const getMessageIntegration = new apigateway.AwsIntegration({
+  service: 'sqs', 
+  path: 'queueName', 
+  region: 'eu-west-1' 
+});
+```
+
 ## API Keys
 
 The following example shows how to use an API Key with a usage plan:

packages/@aws-cdk/aws-apigateway/lib/integrations/aws.ts

@@ -60,6 +60,13 @@ export interface AwsIntegrationProps {
    * Integration options, such as content handling, request/response mapping, etc.
    */
   readonly options?: IntegrationOptions
+
+  /**
+   * The region of the integrated AWS service.
+   *
+   * @default - same region as the stack
+   */
+  readonly region?: string;
 }
 
 /**
@@ -87,6 +94,7 @@ export class AwsIntegration extends Integration {
             resource: apiType,
             sep: '/',
             resourceName: apiValue,
+            region: props.region,
           });
         },
       }),

packages/@aws-cdk/aws-apigateway/test/method.test.ts

@@ -90,6 +90,35 @@ describe('method', () => {
 
   });
 
+  test('integration can be set for a service in the provided region', () => {
+    // GIVEN
+    const stack = new cdk.Stack();
+    const api = new apigw.RestApi(stack, 'test-api', { cloudWatchRole: false, deploy: false });
+
+    // WHEN
+    new apigw.Method(stack, 'my-method', {
+      httpMethod: 'POST',
+      resource: api.root,
+      integration: new apigw.AwsIntegration({ service: 'sqs', path: 'queueName', region: 'eu-west-1' }),
+    });
+
+    // THEN
+    expect(stack).toHaveResource('AWS::ApiGateway::Method', {
+      Integration: {
+        IntegrationHttpMethod: 'POST',
+        Type: 'AWS',
+        Uri: {
+          'Fn::Join': [
+            '',
+            [
+              'arn:', { Ref: 'AWS::Partition' }, ':apigateway:eu-west-1:sqs:path/queueName',
+            ],
+          ],
+        },
+      },
+    });
+  });
+
   test('integration with a custom http method can be set via a property', () => {
     // GIVEN
     const stack = new cdk.Stack();