`int x/(x-1)^2 dx `
`u= x-1 ==gt x= u+1`
du = dx
`==gt int x/(x-1)^2 dx = int (u+1)/u^2 du`
`= int u/u^2 du+ int 1/u^2 du `
`= int 1/u du + int 1/u^2 du `
`= ln u - 1/u + C = ln (x-1) - 1/(x-1) + C `
`==gt int x/(x-1)^2 dx = ln (x-1) - 1/(x-1) + C`
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