Installing or upgrading ImageMagick on a cpanel based server is a fairly quick task and does not require an apache recompile.

The easyApache installer included in WHM does not incude ImageMagick as an additional install option in PHP.

Follow the below steps to have a working imagemagick install.

1. Downolad ImageMagic 6.3.8. onto your server by issuing the command
   You can use the latest version available from http://www.imagemagick.org
   
   wget ftp://ftp.imagemagick.org/pub/ImageMagick/ImageMagick-6.3.9-8.zip
   
2. Issue the command
   
   unzip ImageMagick-6.3.9-8.zip
   
3. Enter the directory by issuing the command
   
   cd ImageMagick-6.3.9-8
   
4. Issue the command
   
   ./configure
   
5. Issue the command
   
   make install
   
   This process may take a few minutes.
   
   When complete move on
   
6. The new versions of WHM have utility to tie the install to your php install.
   
   Log into WHM > Software > Module Installers >> PHP Pecl and install imagick

You should now be good to go, and have a working install of imagemagick with your cpanel server.