Determine the value of ∫011x2+2xdx\int_{0}^{1} \frac{1}{\sqrt{x^2+2x}} dx∫01x2+2x1dx.
ln(1+2)\ln(1+\sqrt{2})ln(1+2)
ln(1+3)\ln(1+\sqrt{3})ln(1+3)
ln(2+3)\ln(2+\sqrt{3})ln(2+3)
arcsinh(1)\text{arcsinh}(1)arcsinh(1)