docs: update section about vscode integration (#5706)

Co-authored-by: logica0419 <logica0419@gmail.com>

Author: ldez

docs/src/docs/welcome/integrations.mdx

@@ -12,12 +12,10 @@ Install [plugin](https://plugins.jetbrains.com/plugin/12496-go-linter).
 
 ### Visual Studio Code
 
-The integration for golangci-lint v2 is currently in work in progress: [vscode-go#3732](https://github.com/golang/vscode-go/issues/3732).
-
 Install the [extension](https://marketplace.visualstudio.com/items?itemName=golang.Go).
 
 <details>
-<summary style={{color: '#737380'}}>Recommended settings</summary>
+<summary style={{color: '#737380'}}>Recommended settings for those who installed golangci-lint manually</summary>
 
 ```json
 "go.lintTool": "golangci-lint",
@@ -35,7 +33,34 @@ Install the [extension](https://marketplace.visualstudio.com/items?itemName=gola
 ```
 
 Using it in an editor without `--fast-only` can freeze your editor.
-Golangci-lint automatically discovers `.golangci.yml` config for edited file: you don't need to configure it in VS Code settings.
+Golangci-lint automatically discovers the `.golangci.yml` config for the edited file, so you don't need to configure it in VS Code settings.
+
+</details>
+
+<details>
+<summary style={{color: '#737380'}}>Recommended settings for those who installed golangci-lint via extension</summary>
+
+Install `golangci-lint-v2` via the `Go: Install/Update Tools` command after setting these configs.
+This will enable golangci-lint v1 to co-exist with v2.
+And use the following settings:
+
+```json
+"go.lintTool": "golangci-lint-v2",
+"go.lintFlags": [
+  "--fast-only"
+],
+"go.formatTool": "custom",
+"go.alternateTools": {
+  "customFormatter": "golangci-lint-v2"
+},
+"go.formatFlags": [
+  "fmt",
+  "--stdin"
+]
+```
+
+Using it in an editor without `--fast-only` can freeze your editor.
+Golangci-lint automatically discovers the `.golangci.yml` config for the edited file, so you don't need to configure it in VS Code settings.
 
 </details>