Update datadog docs to reflect new config flow

source/_integrations/datadog.markdown

@@ -35,13 +35,7 @@ In the [Datadog Agent configuration](https://github.com/DataDog/datadog-agent/bl
 
 ## Configuration
 
-To use the `datadog` integration in your installation, add the following to your  {% term "`configuration.yaml`" %} file.
+{% include integrations/config_flow.md %}
-{% include integrations/restart_ha_after_config_inclusion.md %}
-
-```yaml
-# Example configuration.yaml entry
-datadog:
-```
 
 {% configuration %}
 host:
@@ -65,3 +59,9 @@ rate:
   default: 1
   type: integer
 {% endconfiguration %}
+
+## Removing the integration
+
+This integration follows standard integration removal. No extra steps are required.
+
+{% include integrations/remove_device_service.md %}