SSIS - at the core SSIS is either files with a .dtsx extension or a zip file with a .ispac extension
The .ispac should live in the SSISDB on your SQL Server. You can export them out by simply right clicking on the project and select Export
The .dtsx files might live in msdb under sysssispackages but they might also be in the SSIS Package Store, which is a fancy location under the SQL Server installation. Or they might be anywhere on the file system. Best approach is to find the job that runs the packages and pick apart the target to discover the where.
SSAS - They're a big fine model so won't you just back that cube up {Apologies to Juvenile}. An alternative article for backing up SSAS but you will end up with an .abf file which is everything you should need for the restore. You might also take a moment to start scheduling regular backups of your AS instances because it sounds like that's never been done.
You can also fire up SSDT and reverse engineer the existing model (tabular or multidimensional) and deploy from VS.