Definite Integral – rational function in absolute value inside ln function on symmetric interval – Exercise 6442

Exercise

Evaluate the integral

1212ln1x1+xdx\int_{-\frac{1}{2}}^{\frac{1}{2}} \ln|\frac{1-x}{1+x}| dx

Final Answer


1212ln1x1+xdx=0\int_{-\frac{1}{2}}^{\frac{1}{2}} \ln|\frac{1-x}{1+x}| dx=0

Solution

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