I like Kagi, and this integration seems useful, but I'm wary of search engines showing "widgets". That is often a slippery slope that incentivizes them to add more features to keep me on their site, instead of leading me towards what I'm looking for.

A search engine should show web results based on my query. That's it. Some summaries and highlights are useful, but show them in the sidebar, and make them optional.

If I need a calculator, I have plenty to choose from, including the Wolphram Alpha site.

If I need an answer to a question, LLMs do a good job at that.

Please don't make the common mistake of making your search engine "useful". My average session on your site should last seconds, which is the time it takes me to see the results, and click on the most relevant one. If you achieve that, you're doing a great job.