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Definite Integral – A rational function on a finite interval – Exercise 6403

Exercise

Evaluate the integral

\int_{\frac{1}{2}}^1 \frac{1}{x(x+1)} dx

Final Answer


\int_{\frac{1}{2}}^1 \frac{1}{x(x+1)} dx=\ln\frac{3}{2}

Solution

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