Can I upgrade my Intel® Core™ I3 530 Processor to a Intel® Core™ i5-750 Processor

Looking to upgrade my Inspiron 580 with the  Intel® Core™ I3 530 Processor to a Intel® Core™ i5-750 Processor , but I can't seem to find any definitive answers if it is possible.  I have a Intel PCH H57 chip-set.  The Intel® Core™ I3 530 Processor is a FCLGA1156 socket with  2 cores  and the Intel® Core™ i5-750 Processor is a LGA1156 socket  with 4 cores.  I under stand that the Intel® Core™ I3 530 has integrated graphics and the  Intel® Core™ i5-750 does not.  I have install video card and do not use the integrated video.  So here in-lies the question: Is it possible to use the  Intel® Core™ i5-750 Processor in my Insprion 580?

My System

Inspiron 580
Intel(R) Core(TM) i3 CPU 530 @ 2.93GHz
Cores 2 Threads 4

Motherboard Manufacturer
Dell Inc. Product  033FF6  Chipset Intel PCH H57 BIOS Version A07

Operating System Microsoft Windows 7 Home Premium Edition (64-bit)

Video Card - ATI Radeon HD 5600 Series