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)