Hello and welcome to JustAnswer!I am Pete, and I'll be happy to assist with your question today.
It is not possible to recover deleted browsing history on an iPhone without the use of specialist forensic recovery software, as used by criminal investigators.
iRecovery will not recover deleted browsing history.
The software required is not commercially available - it is developed and used by foensic investigators.
If your iPhone's history is logged through a business server or other monitoring system, this would be the only other way to recover any record of your browsing history.