Let's integrate

Calculus Level 1

Let a,b,ca,b,c be non-zero real constants such that 03(3ax2+2bx+c)dx=13(3ax2+2bx+c)dx.\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+ca+b+c?

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