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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