Math Problem Statement
\int _1^5\int _1^2\left(\frac{\ln \left(y\right)}{xy}\right)dydx
Solution
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Math Problem Analysis
Mathematical Concepts
Double Integrals
Logarithmic Functions
Calculus
Formulas
\int \frac{\ln(y)}{y} dy = \frac{1}{2}(\ln(y))^2
\int \frac{1}{x} dx = \ln(x)
Theorems
Fundamental Theorem of Calculus
Integration by Parts (Logarithmic Integration)
Suitable Grade Level
Undergraduate Level (Calculus II)
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