Fix readmes

Author: ileasile

README.md

@@ -5,20 +5,18 @@
 # Kotlin Notebook Integrations
 
 This monorepo contains official JetBrains integrations for Kotlin Notebooks.
-Each integration lives in the `integrations/` directory and has its own README and Contributing guide.
+Each integration lives in the `integrations/` directory and has its own README.
 
 ## Integrations
 
 - [IntelliJ Platform](integrations/intellij-platform/README.md) — interactive access to IntelliJ Platform APIs from a running IDE process.
 - [HTTP Utilities](integrations/http-util/README.md) — JSON/serialization helpers and Ktor HTTP client wrappers for notebooks.
-- [Database](integrations/database/README.md) — helpers for configuring JDBC DataSources and working with common DBs.
-
-Tip: If you are looking for a specific integration, jump straight into the corresponding folder above.
+- [Database](integrations/database/README.md) — helpers for configuring JDBC DataSources and working with Databases.
 
 ## Contributing
 
 See [CONTRIBUTING.md](CONTRIBUTING.md) for details on how to contribute to this project.
 
 ## License
 
-This project is licensed under the Apache License, Version 2.0. See LICENSE for details.
+This project is licensed under the Apache License, Version 2.0. See LICENSE for details.

integrations/database/README.md

@@ -43,11 +43,11 @@ val dataSource3 = createDataSrcFromSpring(path)
 
 This project consists of the following modules:
 
-- `library`: Contains the core database connection helpers as well as basic unit 
+- `database-api`: Contains the core database connection helpers as well as basic unit 
    tests.
-- `library-integration-tests`: Contains integration tests against all supported 
+- `database-integration-tests`: Contains integration tests against all supported 
    databases and ensure we can load JDBC drivers correctly.
-- `test-infrastructure`: A HTTP test server that allows integration tests to 
+- `database-test-infrastructure`: A HTTP test server that allows integration tests to 
    spin up database containers on demand. It is built and run from the 
    integration test module.
 

integrations/http-util/README.md

@@ -2,7 +2,6 @@
 
 [![JetBrains official project](https://jb.gg/badges/official.svg)](https://confluence.jetbrains.com/display/ALL/JetBrains+on+GitHub)
 [![Kotlin beta stability](https://img.shields.io/badge/project-beta-kotlin.svg?colorA=555555&colorB=AC29EC&label=&logo=kotlin&logoColor=ffffff&logoWidth=10)](https://kotlinlang.org/docs/components-stability.html)
-![GitHub](https://img.shields.io/github/license/Kotlin/kotlin-jupyter-http-util?color=blue&label=License)
 [![Maven Central](https://img.shields.io/maven-central/v/org.jetbrains.kotlinx/kotlin-jupyter-ktor-client?color=blue&label=Maven%20Central)](https://central.sonatype.com/artifact/org.jetbrains.kotlinx/kotlin-jupyter-ktor-client)
 
 This repository contains two integrations for [Kotlin Jupyter notebooks](https://github.com/Kotlin/kotlin-jupyter).

integrations/intellij-platform/README.md

@@ -2,7 +2,6 @@
 
 [![JetBrains official project](https://jb.gg/badges/official.svg)](https://confluence.jetbrains.com/display/ALL/JetBrains+on+GitHub)
 [![Kotlin experimental stability](https://img.shields.io/badge/project-experimental-kotlin.svg?colorA=555555&colorB=AC29EC&label=&logo=kotlin&logoColor=ffffff&logoWidth=10)](https://kotlinlang.org/docs/components-stability.html)
-![GitHub](https://img.shields.io/github/license/Kotlin/kotlin-notebook-intellij-platform?color=blue&label=License)
 
 This integration enables direct experimentation with IntelliJ Platform APIs within the active IntelliJ IDEA runtime, eliminating traditional plugin development barriers.