Your graphics card does not support newer versions of Minecraft.
If you have another GPU in your computer, try running Minecraft with that: right mouse button on the executable → Run With → (something other than "integrated"). Dedicated GPUs tend to have better supported/more compatible drivers than integrated ones.
If you do not have another GPU, then there is nothing you can do about this error, short of replacing your (presumably quite old) graphics card, or even your entire computer.
From the support pages on minecraft.net regarding this issue:
Intel 4 Series Chipsets
Some chipsets in the Intel 4 Series, most notably the Intel 965
Express Chipset are known to have issues with OpenGL support, that may
throw an access violation.
All Intel GPUs using the ig4dev32.dll
and ig4dev64.dll
drivers are
prone to this issue. A full list of affected devices can be found
here.
Solution
This error currently only affects all versions past 1.7.4 - and will
likely affect all future versions of Minecraft.
As such, you may work around this error by using a version prior to
1.7.4, such as 1.7.2. To play 1.7.4 or later versions, you will need a new computer. Alternatively for desktop users, you can buy a new GPU,
but the fact that your computer has an Intel 965 Chipset means that
your computer is likely to be very old, and a new computer may be a
better way to go.