Math Problem Statement
∞ 22 (x^2) /(9 + x6) dx
−∞
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Improper Integrals
Symmetry in Integrals
Substitution Method
Formulas
∫ f(x) dx from −∞ to ∞ for even functions: 2∫[0, ∞] f(x) dx
∫ du / (a^2 + u^2) = (1/a) arctan(u/a)
Theorems
Symmetry in definite integrals
Arctangent integral
Suitable Grade Level
Undergraduate Level (Calculus II or III)