Math Problem Statement
evaluate double integral D xy^2dA where D is the region in the xy-plane bounded by the curves x=y^3 and y=x^2
Solution
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Math Problem Analysis
Mathematical Concepts
Double Integration
Bounded Regions
Coordinate Geometry
Formulas
Double integral formula: ∫∫_D f(x, y) dA
Integral of x^n: ∫ x^n dx = (x^(n+1))/(n+1)
Intersection of curves: solving x = y^3 and y = x^2
Theorems
Power Rule for Integration
Intersection of Curves
Suitable Grade Level
College-level Calculus (First Year)
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