Math Problem Statement
Resolver Integral impropia
Solution
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Math Problem Analysis
Mathematical Concepts
Improper Integrals
Substitution Method
Exponential Decay
Formulas
Substitution u = \sqrt{x}, dx = 2u \, du
\int_{1}^{\infty} e^{-u} \, du = [-e^{-u}]_{1}^{\infty}
\frac{2}{e} = 2 \cdot e^{-1}
Theorems
Convergence of Improper Integrals
Exponential Function Integration
Suitable Grade Level
University-Level Calculus