14.04 - Can I install 64 bit Ubuntu on my Intel Core i7 64bit PC?

I've an Intel Core i7 64 bit PC.

I've seen that Ubuntu 14.04 LTS has the following two versions..

ubuntu-14.04-desktop-i386.iso (Intel 32 bit)

ubuntu-14.04-desktop-amd64.iso (AMD 64 bit)

Can I use ubuntu-14.04-desktop-amd64.iso to install Ubuntu onto my Intel 64 bit machine? Would I face any problem if I do this?

Or Should I install 32 bit version on my 64 bit pc? But if I do this, I think I won't be able to get the advantages of having a 64 bit pc..right?

What should I do now?

Please someone clear the fact (difference) of Intel x86 and AMD64.