Math Problem Statement
find the area enclosed between the parabola y=3x-x² and y=x²-x
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Area between Curves
Intersection of Curves
Formulas
Integral of the difference between two functions: A = ∫[a,b] (f(x) - g(x)) dx
Intersection points of curves by solving f(x) = g(x)
Theorems
Fundamental Theorem of Calculus
Properties of definite integrals for finding areas
Suitable Grade Level
Grades 11-12