# Numbers!

Calculus Level 3

The numbers $$p, q, r$$ such that the quadratic function $$f(x) = px^2 + qx + r$$ satisfies the condition $$f'(1) = 4, f(2) + f''(2) = 13$$ and $$\large \int_{0}^{1} f(x)\, dx = \dfrac{5}{3}$$.

Where $$p, q, r$$ are integers. Find $$p+q+r$$.

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