Math Problem Statement
Evaluate the double integral. 3y2 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
Multivariable Calculus
Double Integrals
Regions of Integration
Geometry of Triangles
Formulas
Double Integral: ∫∫_D f(x, y) dA
Equation of a line: y - y1 = m(x - x1)
Theorems
Fubini’s Theorem: Allows the evaluation of a double integral as an iterated integral.
Basic geometry for finding boundaries of triangular regions.
Suitable Grade Level
College-level (Multivariable Calculus)
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