Evaluate ∫0111+x4dx\int_0^1 \frac{1}{1+x^4} dx∫011+x41dx. (Approximate or identify the form)
142ln(2+1)+122arctan(2+1)\frac{1}{4\sqrt{2}} \ln(\sqrt{2}+1) + \frac{1}{2\sqrt{2}} \arctan(\sqrt{2}+1)421ln(2+1)+221arctan(2+1)
122(ln(2+1)+arctan(2+1))\frac{1}{2\sqrt{2}} (\ln(\sqrt{2}+1) + \arctan(\sqrt{2}+1))221(ln(2+1)+arctan(2+1))
142(ln(2+1)+arctan(2+1)+arctan(2−1))\frac{1}{4\sqrt{2}} (\ln(\sqrt{2}+1) + \arctan(\sqrt{2}+1) + \arctan(\sqrt{2}-1))421(ln(2+1)+arctan(2+1)+arctan(2−1))
π/4\pi/4π/4