I can't seem to send a request to report server using HttpClient as the result is always 401 (Unauthorized).
The action is
public async Task<FileStreamResult> SSRSTest()
            {
                //set credentials
                using (var handler = new HttpClientHandler { 
                    Credentials = new NetworkCredential("userName", "password"),
                    UseDefaultCredentials = false
                })
                using (var httpClient = new HttpClient(handler))
                {
                    //get *.pdf from report server
                    var response = await httpClient                      .GetStreamAsync("http://someip/ReportServer/Pages/ReportViewer.aspx?TheRemainingPartOfURL");
                    var contentDisposition = new ContentDisposition
                    {
                        FileName = "SomeReport.pdf",
                        Inline = false
                    };
                    //set content disposition
                    Response.AppendHeader("Content-Disposition", contentDisposition.ToString());
                    //return the file
                    return File(response, "application/pdf");
                }
            }
Additional:
Pass a Report Parameter Within a URL
Export a Report Using URL Access
Export Formats
Generate Data Feeds from a Report
I've used Fiddler to see what is going on when i login using browser

the Auth tab is
WWW-Authenticate Header is present: Negotiate    
WWW-Authenticate Header is present: NTLM
so even though I was told that the authentication is Basic i needed to use the following
 CredentialCache credentialCache = new CredentialCache();
            credentialCache.Add(new Uri("http://youruri"),"NTLM",new NetworkCredential(username, password));
            using (var handler = new HttpClientHandler
            {
                Credentials = credentialCache
            })
The rest of the code for HttpClient is the same.
Additional:
Authentication with the Report Server
Selecting a Credential Type
Understanding SQL Server Reporting Services Authentication
Configure Basic Authentication on the Report Server
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