# From 0 to 1 again

Calculus Level 3

The definite integral of $$x(x+2)^4$$ from 0 to 1 with respect to $$x$$ can be exprsessed as $$\frac{a}{b}$$ where a and b are integers with no common factors other than 1 and $$a,b>0$$. a+b = ?

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