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Definite Integral of 1/x * x/(1-x) from 0 to 1
Published on August 27, 2024
Learn how to solve the definite integral of 1/x * (x/(1-x)) from 0 to 1. This step-by-step guide demonstrates simplifying the integrand, applying integration rules, and evaluating the limits to reveal the integral diverges to positive infinity.
Question
\int_0^1 \frac{1}{x} \left(\frac{x}{1-x}\right) dx