Get-Mailbox | Get-MailboxPermission | ?{($_.AccessRights -eq "FullAccess") -and ($_.User -like 'DOMAIN\user') -and ($_.IsInherited -eq $false)} | ft Identity
Get-Mailbox | Get-MailboxPermission | ?{($_.AccessRights -eq "FullAccess") -and ($_.User -like 'DOMAIN\user') -and ($_.IsInherited -eq $false)} | Select Identity,User
If that looks right to you just add | Export-Csv -NoTypeInformation C:\Managed.csv to the end of it to generate the .csv output file.