Math Problem Statement
Find the area in The region between the graphs of y = 4 − x2 and y = 2 − x from x = −2 to x = 2.
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Area between Curves
Quadratic Functions
Linear Functions
Formulas
Area between two curves formula: ∫[a, b] (f(x) - g(x)) dx
Quadratic equation: y = 4 - x^2
Linear equation: y = 2 - x
Theorems
Fundamental Theorem of Calculus
Intersection of Curves
Suitable Grade Level
Grades 11-12, Calculus I