Follow these simple Steps :
1. Open Control Panel
2. Go to Programs & features
3. Click Turn Windows features On or Off
4. Search for Internet Explorer from the list
5. Uncheck the box of Internet Explorer
6. Click yes
7. Click ok
That's it , now you will no longer see Internet Explorer in the Taskbar.
To get it back follow the same steps and check the box of Internet Explorer.
It's a trick to disable the Internet Explorer , doing any other changes might effect your Computer.