# My, what large powers you have!

Calculus Level 3

The integral of $$(x+1)(\frac{x}{2} - 1)^{10}$$ with respect to $$x$$ can be expressed as $$\frac{\alpha}{\beta} (\frac{x}{2}-1)^\gamma + \frac{\delta}{\epsilon} (\frac{x}{2}-1)^\omega + c$$ where $$c$$ is the arbitrary constant. $$gcd (\alpha, \beta) = gcd (\delta, \epsilon) =1$$ and $$\gamma > \omega$$.

All I need you to add up is $$\delta$$ and $$\epsilon$$. What is the answer???

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