Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Quadratic Functions
Area Between Curves

Formulas

Intersection points: Solve 3x^2 = x^2 + 5
Area formula: A = ∫[a,b] (f(x) - g(x)) dx
Even function integral simplification: A = 2 ∫[0, √(5/2)] (5 - 2x^2) dx

Theorems

Fundamental Theorem of Calculus
Properties of Even Functions

Suitable Grade Level

College Level Calculus