This article details how to start a new ASP.NET web application using RadarCube ASP.NET for MSAS components.
Once you have installed the library there are at least two web controls in the Toolbox window of Visual Studio - and TOLAPGrid.
TMDCube allows you to connect to an MSAS server versions 2000, 2005 or 2008, and TOLAPGrid provides rendering the results on the web page. Place the TMDCube component on the web form (with the ID assigned to the "TMDCube1"), and then TOLAPGrid ("TOLAPGrid1"). For the TOLAPGrid component set the CubeID property to the newly placed control (TMDCube1).
Then you have to define connection string and name of the MSAS cube.

All you have to do is call the TDMCube's ConnectionString property editor put on the form.
Then you can set the TMDCube.Active property to True (or do it in runtime, for instance, in the appropriate event handler), and - start your application.