Integrating function with 4th power

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Please help me to integrate the following fraction...

$$\frac{v-1}{v(1+(v-1)^{4})}$$

I can dissociate it into two parts but then I can't continue...

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Hint: Use $u=v-1$ substitution then you can partialy integrate with $a=x$ and $\frac{d}{du}b=\frac{1}{(u+1)^5}$.