Math Problem Statement
Evaluate the double integral.
2y2 dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)
D
Solution
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Math Problem Analysis
Mathematical Concepts
Double Integrals
Coordinate Geometry
Integration over Regions
Formulas
Equation of a line: y - y1 = m(x - x1)
Double integral: ∫∫_D f(x, y) dA
Integral of polynomial: ∫ y^n dy = y^(n+1)/(n+1)
Theorems
Fundamental Theorem of Calculus
Area of Triangular Regions
Suitable Grade Level
College Level - Calculus II
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