`#tnvt`
`I=(\frac{x\sqrt{x}+x+\sqrt{x}}{x\sqrt{x}-1}+\frac{\sqrt{x}+3}{1+\sqrt{x})).\frac{x-1}{2x+\sqrt{x}-1}(x>=0,x\ne1)`
`=(\frac{\sqrt{x}(x+\sqrt{x}+1)}{(\sqrt{x}-1)(x+\sqrt{x}+1)}+\frac{(\sqrt{x}+3)(\sqrt{x}-1)}{x-1}).\frac{x-1}{2x+\sqrt{x}-1}`
`=\frac{\sqrt{x}(\sqrt{x}+1)+x+2\sqrt{x}-3}{x-1}.\frac{x-1}{2x+\sqrt{x}-1}`
`=\frac{x+\sqrt{x}+x+2\sqrt{x}-3}{1}.\frac{1}{2x+\sqrt{x}-1}`
`=\frac{2x+3\sqrt{x}-3}{2x+\sqrt{x}-1}`
