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# Integral of v/(-2v+1+v^2)

### Videos

$\frac{v\cdot x}{\left(v-1\right)^{2}}+C_0$

## Step-by-step explanation

Problem

$\int\frac{v}{v^2-2v+1}dx$
1

The integral of a constant is equal to the constant times the integral's variable

$x\frac{v}{1-2v+v^2}$

$\frac{v\cdot x}{\left(v-1\right)^{2}}+C_0$
$\int\frac{v}{v^2-2v+1}dx$