Solve the integral of logarithmic functions $\int\frac{x}{\sqrt{1-x^2}}\ln\left(\frac{x-1}{x+1}\right)dx$

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Learn how to solve integration by trigonometric substitution problems step by step online. Solve the integral of logarithmic functions int(x/((1-x^2)^(1/2))ln((x-1)/(x+1)))dx. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. We can solve the integral \int\frac{x}{\sqrt{1-x^2}}\left(\ln\left(x-1\right)-\ln\left(x+1\right)\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.