Math Problem Statement
integral(0toinfinity)(1/(sqrtx^2+4))-(C/(x+2))
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Trigonometric Substitution
Improper Integrals
Logarithmic Divergence
Formulas
∫(1 / sqrt(x^2 + 4)) dx = π / 2
∫(C / (x + 2)) dx = C * ln((a + 2) / 2) as a → ∞
Theorems
Convergence of Improper Integrals
Trigonometric Substitution
Suitable Grade Level
Undergraduate Calculus
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