A calculus problem by Rahil Sehgal

Calculus Level pending

D 6 x 2 40 y d A \displaystyle\int \int_{D} 6x^2-40y \; dA , where D D is a triangle with vertices ( 0 , 3 ) , ( 1 , 1 ) , ( 5 , 3 ) (0,3), (1,1) , (5,3) . If the above multiple integral can be expressed in form of a b - \dfrac{a}{b} , then enter the answer as a + b a+b .


The answer is 938.

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