# Double Integrals? Double the Fun.

Calculus Level 4

Let $$N = \iint_R (x^2 + y^2)\ dA$$ over the triangle with vertices $$(0,0), (2,2), (4,0)$$. If $$N = \frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, what is the value of $$a+b$$?

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