Math Problem Statement
∫∞ 1 𝑥𝑒−𝑥𝑑𝑥
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Improper Integrals
Integration by Parts
Exponential Decay
Formulas
∫ u dv = uv - ∫ v du (Integration by Parts Formula)
∫_1^∞ e^(-x) dx = [ -e^(-x) ]_1^∞
Theorems
Integration by Parts
Behavior of Exponential Functions at Infinity
Suitable Grade Level
Undergraduate Calculus
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