Math Problem Statement

solve integrate 1/ (x^2 * sqrt(x^2 + 4))

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Trigonometric Substitution
Calculus

Formulas

Trigonometric substitution: x = 2tan(θ)
Identity: tan^2(θ) = sec^2(θ) - 1
Integral of cot^2(θ): ∫cot^2(θ) dθ = -cot(θ) - θ + C

Theorems

Trigonometric substitution theorem for radical expressions
Fundamental theorem of calculus

Suitable Grade Level

Undergraduate Calculus