# Do not go for E axe

Calculus Level 3

If $$\displaystyle f(x)=\int f(x) \, dx$$ with $$\displaystyle \int \left[f''(x) + (f'(x))^2+(f(x))^3\right]\, dx =0$$, find the value of $$\displaystyle \sum_{r=1}^3 \frac{(f(x))^r}r$$.

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