Math Problem Statement
Please tell me if the following integral diverges or not and prove it: Integral(-inf, +inf) of (1/x^(4/5))
Solution
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Math Problem Analysis
Mathematical Concepts
Improper Integrals
Convergence and Divergence
Real and Complex Analysis
Formulas
∫(1/x^(4/5)) dx
Antiderivative: ∫x^(-4/5) dx = 5x^(1/5)
Theorems
Divergence of improper integrals
Singularities in real analysis
Suitable Grade Level
Undergraduate (Calculus II or III level)
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