Math Problem Statement
Compute the definite integral
∫(e^4,e)( lnx)^3/xdx= Preview Change entry mode
Give the exact value.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Definite Integral
Logarithmic Functions
Formulas
Integral of (ln x)^n / x is ∫ (ln x)^n / x dx
Substitution Method: u = ln x, du/dx = 1/x
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12, Early College