Azure Integration Services is Microsoft's umbrella name for six products that connect systems: Logic Apps, API Management, Service Bus, Event Grid, Data Factory and Azure Functions. Microsoft's own page lists them, and its documentation is good.
What none of it tells you is which one your problem needs, or what that one costs to run once the traffic is real. That decision is usually taken once, early, by whoever is nearest to it, and unpicking it later means rebuilding the integration rather than reconfiguring it.
The useful question is not which component is best. It is what must not be allowed to happen.