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Q: Report Server Sharepoint 2013 Errors We have Report server services in SharePoint Integrated mode and it was working up until last week but now when ever we are trying to open a report or data source we are getting the below error 

Report Server could not access this web applications content
  database. The application pool account may not have permission.
  Navigate to the properties page of this SQL Server Reporting Services
  service application and ensure it has appropriate permissions. --->
  Microsoft.ReportingServices.Diagnostics.Utilities.SharePointException:

When i went through the event viewer i am seeing the below 

A network-related or instance-specific error occurred while
  establishing a connection to SQL Server. The server was not found or
  was not accessible. Verify that the instance name is correct and that
  SQL Server is configured to allow remote connections. (provider: Named
  Pipes Provider, error: 40 - Could not open a connection to SQL Server)

But the SharePoint functionality is working fine only thing which is not working is the report server .I checked the permissions of the report service application account on the content DB and its fine 
Can you please suggest what else i need to do 
Update 1 : I deleted the service application and recreated again but its still happening again , i am not sure where i am going wrong 
Update 2  : I restarted all the SharePoint servers and also checked whether the service application account can logon to SQL and the issue is still there 
Update 3 : I have even now uninstalled and re created reporting services from Scratch and the issue is still there 
Thanks

A: The problem is occuring because the account in use for the service application has to make multiple hops on the network to authenticate with SQL Server for authentication. If the SQL instance is using windows authentication for the service account it will never authenticate via the service application because it has to make multiple hops before authenticating with the database. The reason why you can verify the account access is because you are making one hop. Follow the below article to register the service account as  Service Principle Name account.
http://msdn.microsoft.com/en-us/library/cc281382.aspx
I had the same issue before.

A: Try giving access through powershell commands:
$w = Get-SPWebApplication -Identity http://xyz
$w.GrantAccessToProcessIdentity(myDomain\srsAccount)

Follow this article for creating reporting service account:
http://support.microsoft.com/kb/2723587?wa=wsignin1.0
Hope it helps!! :)

A: I had similar issues when trying to configure PowerPivot Server on a SharePoint 2010 On Premise. I finally got it working by giving database access through PowerShell commands. It appears that accessing database with R/W access, via Management Studio, with the dedicated service account, was not relevant. PowerShell did the trick.
1/ Get GUID from all farms databases
Get-SPDatabase | Where-Object {$_.WebApplication -like SPAdministrationWebApplication}

2/ Set databases admin rights to the Report Server Account
Add-SPShellAdmin -UserName DOMAIN\RSACCOUNT -database 418658e3-167c-48ef-ac01-2fbc8f0ba1ad

Hope that still remains useful on 2013.

A: Does your Reporting Services Account have the Log On As A Service permission? I had a similar problem with Integration services and solved it by adding that permission through the MMC console then reapplying the logon settings of the service account in the Services console and restarting the service.

A: Did you start Reporting Services in SharePoint?
Run the following commands in powershell to make sure the service is running
Install-SPRSService

Install-SPRSServiceProxy

Get-SPServiceInstance -all | where {$_.TypeName -like SQL Server Reporting*} | Start-SPServiceInstance

Launch Central Admin and make sure the reporting services are started. If not, start them manually.

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