# Let's integrate

Calculus Level 1

Let $$a,b,c$$ be non-zero real constants such that $\displaystyle \int_{0}^3 (3ax^2+2bx+c) \, dx=\displaystyle \int_{1}^3 (3ax^2+2bx+c) \, dx.$ What is the value of $$a+b+c$$?

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