Math Problem Statement
Integrate √(mg/b)×{-1-e^[2×√(gb/m)×t]}/{1-e^[2×√(gb/m)×t]}
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Substitution
Exponentials
Logarithmic Functions
Formulas
∫ A × (−1 − e^{2αt}) / (1 − e^{2αt}) dt
∫ du / (1 − u^2) = (1/2) ln |(1+u)/(1−u)|
Theorems
Substitution method for integration
Logarithmic integration of rational functions
Standard integral of 1/(1−u^2)
Suitable Grade Level
College Level
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