drivers - VGA Controller is Intel's but graphic card is AMD/ATI, and 3d acceleration is not supported

I typed lspci -nn in the Terminal.
And this is what it says :

00:00.0 Host bridge [0600]: Intel Corporation 3rd Gen Core processor DRAM Controller [8086:0154] (rev 09)
00:01.0 PCI bridge [0604]: Intel Corporation Xeon E3-1200 v2/3rd Gen Core processor PCI Express Root Port [8086:0151] (rev 09)
00:02.0 VGA compatible controller [0300]: Intel Corporation 3rd Gen Core processor Graphics Controller [8086:0166] (rev 09)
00:14.0 USB controller [0c03]: Intel Corporation 7 Series/C210 Series Chipset Family USB xHCI Host Controller [8086:1e31] (rev 04)

00:16.0 Communication controller [0780]: Intel Corporation 7 Series/C210 Series Chipset Family MEI Controller #1 [8086:1e3a] (rev 04)
00:1a.0 USB controller [0c03]: Intel Corporation 7 Series/C210 Series Chipset Family USB Enhanced Host Controller #2 [8086:1e2d] (rev 04)
00:1b.0 Audio device [0403]: Intel Corporation 7 Series/C210 Series Chipset Family High Definition Audio Controller [8086:1e20] (rev 04)
00:1c.0 PCI bridge [0604]: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 1 [8086:1e10] (rev c4)
00:1c.3 PCI bridge [0604]: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 4 [8086:1e16] (rev c4)
00:1d.0 USB controller [0c03]: Intel Corporation 7 Series/C210 Series Chipset Family USB Enhanced Host Controller #1 [8086:1e26] (rev 04)
00:1f.0 ISA bridge [0601]: Intel Corporation HM76 Express Chipset LPC Controller [8086:1e59] (rev 04)
00:1f.2 SATA controller [0106]: Intel Corporation 7 Series Chipset Family 6-port SATA Controller [AHCI mode] [8086:1e03] (rev 04)
00:1f.3 SMBus [0c05]: Intel Corporation 7 Series/C210 Series Chipset Family SMBus Controller [8086:1e22] (rev 04)
01:00.0 Display controller [0380]: Advanced Micro Devices, Inc. [AMD/ATI] Mars [Radeon HD 8670A/8750M] [1002:6600]

02:00.0 Network controller [0280]: Intel Corporation Centrino Advanced-N 6235 [8086:088e] (rev 24)
03:00.0 Ethernet controller [0200]: Realtek Semiconductor Co., Ltd. RTL8111/8168/8411 PCI Express Gigabit Ethernet Controller [10ec:8168] (rev 06)

As you can see, VGA controller is Intel's but Display controller is AMD/ATI's,

and I have 'RADEON GRAPHICS - AMD' sticker on my laptop.

However, This document says like I should only check VGA compatible controller, not Display controller.

Another problem is that my 3d acceleration is not working.

When I type fglrxinfo or /usr/lib/nux/unity_support_test -p, it says

X Error of failed request:  BadRequest (invalid request code or no such operation)
  Major opcode of failed request:  136 (GLX)
  Minor opcode of failed request:  19 (X_GLXQueryServerString)
  Serial number of failed request:  22
  Current serial number in output stream:  22

This also occurs when I try to play 3D games, of course.

However, as you can see, my graphic card is one of Radeon HD 8xxx series (a.k.a. OLAND).

I think that's why the Ubuntu drivers didn't work.

Is there any unofficial drivers to make my 3D acceleration work?